.

Динаміка сингулярно збурених механічних систем: Автореф. дис… д-ра фіз.-мат. наук / М.М. Жечев, НАН України. Ін-т приклад. математики і механіки. —

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IAOe?IIAEUeIA AEAAeAI?ss IAOE OE?A?IE

?inoeooo i?eeeaaeii? iaoaiaoeee ? iaoai?ee

AEA*AA Ieoaeei Ieoaeeiae/

OAeE 531.31:531.36:517.9

AeEIAI?EA NEIAOEss?II CAO?AIEO

IAOAI?*IEO NENOAI

01.02.01. – Oai?aoe/ia iaoai?ea

Aaoi?aoa?ao

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

aeieoi?a o?ceei-iaoaiaoe/ieo iaoe

Aeiiaoeuee – 1999

Aeena?oaoe??th ? ?oeiien.

?iaioa aeeiiaia a ?inoeooo? oaoi?/ii? iaoai?ee IAI Oe?a?ie oa IEA
Oe?a?ie.

Iaoeiaee eiinoeueoaio /eai-ei?aniiiaeaio IAI Oe?a?ie,

aeieoi? oaoi?/ieo iaoe, i?ioani?

Ooeaeia A?eoi? Oaaei?iae/,

caa?aeoaa/ a?aeae?eo

?OI IAI Oe?a?ie oa IEA Oe?a?ie.

Io?oe?ei? iiiiaioe:

/eai-ei?aniiiaeaio IAI Oe?a?ie, aeieoi? o?ceei-iaoaiaoe/ieo iaoe,
i?ioani? Oa?eaiia Iaaei Aaneeueiae/, ?III IAI Oe?a?ie, caa?aeoaa/
a?aeae?eo.

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, i?ioani? Nainiiia A?oae?e
Ieaenaiae?iae/, ?inoeooo iaoai?ee Iineianueeiai aea?aeaaiiai
oi?aa?neoaoo, aieiaiee iaoeiaee ni?a?ia?oiee.

aeieoi? o?ceei-iaoaiaoe/ieo iaoe, noa?oee iaoeiaee ni?a?ia?oiee Caa?i
Ieaenaiae? A?iiiae/, ?inoeooo o?ainii?oieo nenoai ? oaoiieia?e IAI
Oe?a?ie, i?ia?aeiee iaoeiaee ni?a?ia?oiee.

I?ia?aeia onoaiiaa: Aeiiaoeueeee aea?aeaaiee oi?aa?neoao, eaoaae?a
oai?aoe/ii? iaoai?ee, i. Aeiiaoeuee.

Caoeno a?aeaoaeaoueny 19 eenoiiaaea 1999 ?. i 16 aiaeei? ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee Ae 11.193.01 ?inoeoooo i?eeeaaeii?
iaoaiaoeee ? iaoai?ee IAI Oe?a?ie (340114, Aeiiaoeuee-114, aoe. ?ice
Ethenaiao?a, 74).

C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? ?inoeoooo
i?eeeaaeii? iaoaiaoeee ? iaoai?ee IAI Oe?a?ie (340114, Aeiiaoeuee-114,
aoe. ?ice Ethenaiao?a, 74).

Aaoi?aoa?ao ?ic?neaiee 13 aeiaoiy 1999 ?.

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee Eiaaeaanueeee I.A.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeuei?noue oaie. Iaoiae Eaa?aiaea, ye a?aeiii, aeicaieea caanoe
aeeiai?/io caaea/o aei caaea/? /enoiai aiae?co, caaaeyee /iio aeyaeeiny
caeaei iaaiaeeoe eiaeiiai ?aco aaiiao?e/i? i??eoaaiiy. Canoinoaaiiy
iaoiaeo Eaa?aiaea aei aieiiiiieo iaoai?/ieo nenoai aeicaiey? caienaoe
??aiyiiy ?ooo Eaa?aiaea, ui aieiae?thoue aaaaoueia /oaeiaeie
aeanoeainoyie. Ianaiia?aae, o neeo aeiaeaoiino? ian iaoa??aeueieo oi/ie
(iaeiiai c iniiaieo iineeaiue eeane/ii? iaoai?ee) aiie iiaeooue aooe
caaaeai? aei ii?iaeueii? oi?ie, ca?aee?ey o aeiaaeeo aeeiiaiiy ia
caiaaeoi aei?noeeo oiia aeaaeeino?, ui o iaoai?oe?, cae/aeii,
aaaaeathoueny aeeiiaieie, aeieeaa?, ui i?e aoaeue-yeeo ii/aoeiaeo oiiaao
oe? ??aiyiiy iathoue ?aeeiee ?ica’ycie, ? oeae ?ica’ycie caeaaeeoue
a?ae ia?aiao??a nenoaie iaia?a?aiei /eiii. Caaaeyee oeei aeanoeainoyi
aeine?aeaeaiiy ?ooo iaoai?/ieo nenoai caiaeeoueny, ye i?aaeei, aei
canoinoaaiiy oeo aai ?ioeo iaoiae?a /enaeueiiai oa/aai ye?niiai aiae?co
cae/aeieo aeeoa?aioe?aeueieo ??aiyiue. Aeiaeaoeia? i?iaeaie ia
aeieeathoue ? i?e aeine?aeaeaii? iaoai?/ieo nenoai, o yeeo
iani-?ia?oe?ei? oa?aeoa?enoeee aeaiaio?a a?ae??ciythoueny ?noioii, eiee
c iaoith ni?iuaiiy iaoaiaoe/ii? iiaeae? aeine?aeaeoaaiiai i?ioeano
iaooothoue ianaie ie?aieo iaoa??aeueieo oi/ie, yeui i?e oeueiio ii?yaeie
??aiyiue ?ooo ia cieaeo?oueny. I?ioa “iaioe?iiy” iaeeo ian (aai, acaaae?
eaaeo/e, iani-?ia?oe?eieo oa?aeoa?enoee) iiaea i?ecaiaeeoe ? aei
cieaeaiiy ii?yaeeo ??aiyiue ?ooo. Aeey aeine?aeaeaiiy aeeiai?ee oaeeo
nenoai aeei?enoiaothoueny iaoiaee iaoaiaoe/ii? oai??? neiaoey?ieo
cao?aiue.

?ioaineaiee ?icaeoie oeueiai iai?yieo ii/aany iai?ee?ioe? ni?ieiaeo
?ie?a, caaaeyee ?iaioai I.I. Oeoiiiaa. Iei? c i?enay/aieo oe?e aaeoc?
iaoaiaoeee eiea iaea?eueoa a?aeii? iiiia?ao?? Aiaiethaiaa I.I. ?
Ieo?iiieuenueeiai TH.I., Aaciaa A., Aai-Aeaeea I., Aaneeue?ai? A.A. ?
Aooociaa A.O., A?aaaii?eiaa ?.I. ? ?yaiaa TH.I., Ii?n??aa I.I.,
I?uaiea ?.O. ? ?iciaa I.O., Eiiiaa N.I. oa ?i. sseui aeine?aeaeoaaia
iaoai?/ia nenoaia ii??aiyii i?inoa, oi iaoiaee oai??? neiaoey?ieo
cao?aiue aeicaieythoue iaea?aeaoe iaaeeaeai? ?ica’ycee ??aiyiiy ?ooo oa
ioe?ieoe a?aeiia?aeio iioeaeo. Ni?iae ae canoinoaaoe oe? iaoiaee aei
aeine?aeaeaiiy aeinoaoiuei neeaaeieo iaoai?/ieo nenoai iaooiaoothoueny
ia na?eici?, /anoi i?aeoe/ii iaia?aai?i? i?iaeaie, iaoiiaeai?
a?ii?caee?noth iaoaiaoe/ieo iiaeaeae oaeeo nenoai.

?icaeoie oaoi?ee ana /ano?oa i?ecaiaeeoue aei iaiao?aeiino? aiae?co
neeaaeieo aaaaoiaeaiaioieo iaoai?/ieo nenoai, ui i?noyoue aeaiaioe,
iani-?ia?oe?ei? oa?aeoa?enoeee yeeo i?ae niaith ?noioii
a?ae??ciythoueny. O eini?/i?e aaeoc? oea an?eye? i?ioyaei? oa i?inoi?iai
?icaeioo? eini?/i? eiino?oeoe??. I?iaeaiaie aeeiai?ee neeaaeieo
aaaaoiaeaiaioieo iaoai?/ieo nenoai caeiaeeny aaaaoi eieaeoea?a o/aieo,
cie?aia, ea?iaai? A?ooaiao?aii E., Iao?iniaei A.I., Iiiiaei ?.I.,
?aaioiiaei TH.I., *a?iionueei O.E., TH?aae/ai ?.?. oa ?i. O?eaaeee /an
oeae iai?yiie ?icaeaaany a oaeeo i?aai?caoe?yo, ye ?OI IAIO ? IEAO
(i. Aei?i?iiao?ianuee), ?I IAIO (i. Ee?a), E?A? (i. Ee?a), IAOO
(i. Iineaa), OeIAe? ?OE (i. Naieo-Iaoa?ao?a), ?III IAIO (i. Aeiiaoeuee)
? o.ae. Ine?eueee, ye iieaco? aeina?ae ?iaioe, canoinoaaiiy caaaeueieo
iaoiae?a iaoaiaoe/ii? oai??? neiaoey?ieo cao?aiue aei ??aiyiue ?ooo
neeaaeieo aaaaoiaeaiaioieo neiaoey?ii cao?aieo iaoai?/ieo nenoai
iia’ycaii ?c na?eicieie i?iaeaiaie, iaoiiaeaieie a?ii?caee?noth
a?aeiia?aeieo iaoaiaoe/ieo iiaeaeae, oi aeieea? iaiao?aei?noue o
?ic?iaoe? niaoe?aeueieo iaoiae?a, ui a?aoiaoaaee a iaoai?/io i?e?iaeo
aeine?aeaeoaaieo ??aiyiue, – iaoiae?a aeine?aeaeaiiy neiaoey?ieo ?
neiaoey?ii cao?aieo iaoai?/ieo nenoai.

Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. Aeine?aeaeaiiy c
aeena?oaoe?eii? ?iaioe aeeiioaaeeny a?aeiia?aeii aei Ieai?a iaoeiaeo
aeine?aeaeaiue a?aeae?eo aeeiai?ee ? ea?oaaiiy e?oaeueieie aia?aoaie ?OI
IAI Oe?a?ie ? IEA Oe?a?ie a?aeiia?aeii aei iinoaiiae I?aceae?? IAI
Oe?a?ie ii ianooiiei athaeaeaoiei oaiai:

– 1986 – 1990 ?iee – o. 79 (niaoeoaia, a?aee?eoa /anoeia);

– 1991 – 1995 ?iee – o.21 “?ic?iaea iaoiae?a ? aeai?eoi?a iioei?caoe??
ea?oaaiiy i?e iaiaaeai?e ?ioi?iaoe?? aeene?aoii-iaia?a?aiei ?ooii
nenoaie aca?iiae?th/eo ia’?eo?a”;

– 1996-2000 ?iee – o.205 ” Aea?? ? iaa?oiooaaiiy oeyo?a ? iaoiae?a
i?aeaeuaiiy aoaeoeaiino? aae?noe/iiai caaacia/aiiy aenieoaoaoe??
?aeao-iin??a ? eini?/ieo aia?ao?a c o?aooaaiiyi iniaeeainoae ?
ia?niaeoea ?icaeoeo ?aeaoii-eini?/iiai eiiieaeno Oe?a?ie”;

a oaeiae o iaaeao ainiaeiaiai??a:

– 1981 – 1985 ?iee – o/ae 355 (niaoeoaia, a?aee?eoa /anoeia);

– 1986 – 1990 ?iee – o/ae 415 (niaoeoaia, a?aee?eoa /anoeia).

Iaoa ? caaea/? aeine?aeaeaiue. Ciaoooaaiiy ie?aieie iani-?ia?oe?eieie
oa?aeoa?enoeeaie i?e aeine?aeaeaii? neeaaeieo aaaaoiaeaiaioieo
iaoai?/ieo nenoai ? noaiaea?oiei caniaii o ?iaeaia?i?e i?aeoeoe?. O neeo
oe?iei? iioe?aiino? oeueiai caniao i?e?iaeia i?aaiaiiy iiaoaeoaaoe /?oe?
i???ioiaai? ia aeine?aeiee?a-iaoai?e?a e?eoa???, eiee oea iiaeia ?iaeoe,
a eiee aeei?enoaiiy oeueiai caniao iiaea i?ecaanoe aei ao?aoe ye?nieo
aeanoeainoae nenoaie; ? a?aeiia?noe ia caieoaiiy ui ?iaeoe, yeui
ni?iuai? ??aiyiiy ?ooo aeyaeeeny neiaoey?ieie. Aeaia ?iaioa i?enay/aia
?ica’ycaiith caaaeueieo ieoaiue iaoaiaoe/iiai iiaeaethaaiiy aeeiai?ee
neiaoey?ii cao?aieo iaoai?/ieo nenoai. Iaoa ?iaioe iieyaa? a oiio, uia
anoaiiaeoe i???ioiaai? ia aeine?aeiee?a – iaoai?e?a:

– e?eoa??? iiae?eaiiy iaoai?/ieo nenoai ?c iaeeie iani-?ia?oe?eieie
oa?aeoa?enoeeaie ia ?aaoey?ii oa neiaoey?ii cao?ai? ? caeiaooe iaoiaee,
ui aeicaieeee a ia i?aeoeoe? aecia/eoe, aei yeiai c cacia/aieo oei?a
a?aeiineoueny aeine?aeaeoaaia iaoai?/ia nenoaia;

;

– oiiae ?nioaaiiy oa ?aeeiino? ?ica’yce?a neiaoey?ieo ??aiyiue, ui
ooai?ththoueny ?c neiaoey?ii cao?aieo ??aiyiue ?ooo i?e iaioe?ii? iaeeo
iani-?ia?oe?eieo oa?aeoa?enoee;

– iaoiaee caaaeaiiy neiaoey?ieo ??aiyiue ?ooo aei ii?iaeueii? aai ?ioi?
oi?ie, c?o/ii? aeey iiaeaeueoiai ye?niiai aai /enaeueiiai aiae?co;

– ye?ni? aeanoeaino? neiaoey?ieo nenoai ? iniaeeaino? ea?oaaiiy oaeeie
nenoaiaie.

Iaoeiaa iiaecia iaea?aeaieo ?acoeueoao?a.

1. Aia?oa iieacaii, ui iaoai?/ia nenoaia c iaeeie iani-?ia?oe?eieie
oa?aeoa?enoeeaie ? neiaoey?ii cao?aiith a oiio ? o?eueee a oiio
aeiaaeeo, eiee ?aia nenoaie iaioa ?? /enea nooiai?a aie?.

2. Aia?oa a caaaeueiiio aeaeyae? aecia/aii aeiaaeuei? eaa?aiaeaa?
eii?aeeiaoe, ui aeicaieythoue caienaoe ??aiyiiy ?ooo neiaoey?ii cao?aii?
iaoai?/ii? nenoaie c iino?eiei ?aiaii o “oeoiiianueeiio” aeaeyae?.

3. Iaea?aeaii iiao c?o/io i?e aeine?aeaeaii? aieiiiiieo neiaoey?ieo
iaoai?/ieo nenoai ?c iino?eiei ?aiaii oi?io cia?aaeaiiy ??aiyiue
Eaa?aiaea ? cai?iiiiiaaii no?iai iaa?oioiaai? iaoiaee caaaeaiiy ?o aei
ii?iaeueii? oi?ie.

4. Aia?oa ii?aoeueiaaii i?aeoiaee aei aecia/aiiy ?aiao iaoai?/ieo
nenoai, o oiio /ene? i?e iayaiino? aeiaeaoeiai? a’yc?.

5. Aeey iaeiiai i?aeoe/ii aaaeeeaiai aeiaaeeo iaea?aeaii ye?nio ioe?ieo
? aeinoaoi? oiiae aeecueeino? a ie?oc? ae?iaeaeaii? eiio?ao?aoe??
?ica’yce?a neiaoey?ii cao?aiiai ? a?aeiia?aeiiai eiio neiaoey?iiai
??aiyiue ?ooo.

6. Iaea?aeaii iiao c?o/io i?e aeine?aeaeaii? iaaieiiiiieo neiaoey?ieo
iaoai?/ieo nenoai oi?io cia?aaeaiiy ??aiyiue A?aana-Aiiaey.

7. Aecia/aii iia? oiiae iaia?a?aii? caeaaeiino? ?ica’yce?a ??aiyiue ?ooo
neiaoey?ii cao?aieo iaoai?/ieo nenoai ?c iino?eiei ?aiaii a?ae iaeeo
iani-?ia?oe?eieo oa?aeoa?enoee, ?iaa??aioi? noiniaii aeai?o eii?aeeiao.

8. Cai?iiiiiaaii i?aeo?ae aei ea?oaaiiy neiaoey?ieie iaoai?/ieie
nenoaiaie, iiaoaeiaaiee ia ii/a?aaeiiio ea?oaaii?, ? ?ica’ycai? caaea/?
i?i no?ee?noue ??aiiaaae neiaoey?ieo nenoai i?e oaeiio oei? ea?oaaiiy.

I?aeoe/ia cia/aiiy iaea?aeaieo ?acoeueoao?a. Iaea?aeai? ?acoeueoaoe
iiaeooue aooe aeei?enoai? i?e ye?niiio ? /enaeueiiio aiae?c? aeeiai?ee
neeaaeieo aaaaoiaeaiaioieo iaoai?/ieo nenoai, cie?aia, aaeeeeo
i?ioyaeieo ? i?inoi?iai ?icaeiooeo eini?/ieo eiino?oeoe?e.

Anoaiiaeai? oiiae aeecueeino? ?ica’yce?a ??aiyiue ?ooo neiaoey?ii
cao?aieo oa neiaoey?ieo nenoai aeicaieythoue ei?aeoiei /eiii ni?inoeoe
??aiyiiy ?ooo iaoai?/ieo nenoai, o yeeo iani-?ia?oe?ei? oa?aeoa?enoeee
aeaiaio?a a?ae??ciythoueny ?noioii.

Aeyaeai? aeanoeaino? ocaaaeueiaieo ??aiyiue Eaa?aiaea oa A?aana-Aiiaey
aeathoue iiaeeea?noue aoaeoeaii aeine?aeaeoaaoe ni?iuai? ??aiyiiy ?ooo.

Caeiaoo? aeanoeaino? neiaoey?ieo ??aiyiue ?ooo aeicaieythoue aeyaeyoe
oae? ye?ni? iniaeeaino? iaoai?/ieo nenoai, ye i?aeaeuaia /ooeea?noue
?ooo aei iino?eii ae?th/eo cao?aiue, iiaeeea?noue oaea?ieo aca?iiae?e,
iayai?noue aenieioaeaee?nieo ?aaeei?a oiui.

Cai?iiiiiaaiee i?aeo?ae aei ea?oaaiiy neiaoey?ieie nenoaiaie caaacia/o?
cieaeaiiy aieeao aeniei/anoioieo iino?eii ae?th/eo cao?aiue ia ?oo oeeo
nenoai.

Iniaenoee aianie caeiaoaa/a. ?acoeueoaoe aeena?oaoe?eii? ?iaioe
iioae?eiaai? a iiiia?ao?? [1], noaooyo [2-14], aaoi?nueeeo na?aeioeoaao
ia aeiaoiaee [15, 16], i?aoeyo eiioa?aioe?e [17- 21].

O noaoo? [3] caeiaoaa/o iaeaaeeoue iaoaiaoe/ia iinoaiiaea caaea/,
oi?ioethaaiiy ? aeieace oai?ai.

O i?aoe? [4] – iaoiaeeea ?ioaa?oaaiiy neiaoey?ieo ??aiyiue ?ooo nenoaie
aeaio o?e, ca’ycaieo i?oaeiei aaaaoieaiieeii.

O noaoo? [5] – oiiae no?eeino? noaio ??aiiaaae iaoai?/ii? nenoaie c?
ci?ithaaiith eiio?ao?aoe??th ? ae?ac aeey ia?oiai iaaeeaeaiiy ?ica’yceo
??aiyiiy ?ooo aeaii? nenoaie.

O noaoo? [7] – oiiae ? aeieac aeiaeaoii? ?iaa??aioiino? iiiaeeie
noaoe?iia?ieo oi/ie nenoaie c iiiaicia/iith i?aaith /anoeiith.

O cayaeao ia aeiaoiaee [15], [16] – oai?aoe/ia iaa?oiooaaiiy cania?a
oi?ioaaiiy ea?oth/eo ae?e.

O i?aoe? [18] – aeai?eoi ae??oaiiy oa iaoiaeeea iieno neiaoey?ieo
??aiyiue ?ooo.

Ai?iaaoe?y ?acoeueoao?a aeena?oaoe??. ?acoeueoaoe aeine?aeaeaiue
aeiiia?aeaeenue ? iaaiai?thaaeenue ia

– IV Ananithci?e eiioa?aioe?? “Iaoai?/i? ea?iaai? nenoaie” (??eoonuee,
1982);

– XVII iaoeiaeo /eoaiiyo ii einiiiaaoeoe? (i. Iineaa, 1993);

– International Conference on Large Space Structure (Novgorod, 1993);

– Second International Aerospace Congress (IAC-93, Moscow, 1993);

– International Congress in Industrial and Applied Mathematics
(ICIAM-95, Humburg, Germany);

– I?aeia?iaei?e eiioa?aioe?? “No?ee?noue, ea?oaaiiy ? aeeiai?ea
oaa?aeiai o?ea” (i. Aeiiaoeuee, 1996);

– I?aeia?iaei?e eiioa?aioe?? “Iaoeiai-oaoi?/i? i?iaeaie einiiiaaoeee ?
?aeaoiaoaeoaaiiy” (i. Eae?i?ia?aae Iineianueei? iae., 1996);

– VI Oe?a?inueei-?in?enueei-Eeoaenueeiio neiiic?oi? ii eini?/iei iaoeai
? oaoiieia?yi (i. Ee?a, 1996);

– I?aeia?iaei?e eiioa?aioe?? “Iaoaiaoeea a ?iaeono???” (i. Oaaai?ia,
1998);

– nai?ia?ao ?OI IAI Oe?a?ie ? IEA Oe?a?ie i?ae ea??aieoeoaii
A.O. Ooeaeiaa;

– nai?ia?ao ?III IAI Oe?a?ie i?ae ea??aieoeoaii I.A. Oa?eaiiaa oa
I.ss. Naa/aiea;

– ia’?aeiaiiio nai?ia?? eaoaae? oai?aoe/ii? iaoai?ee, oai??? i?oaeiino?
? aeui? iaoaiaoeee Aeiiaoeueeiai aea?aeaaiiai oi?aa?neoaoo i?ae
ea??aieoeoaii A.I. Oaa/aiea ? I.N. Einiiaeai?ainueeiai.

No?oeoo?a aeena?oaoe??. ?iaioa neeaaea?oueny c anooio, naie ?icae?e?a,
aeniiae?a ? nieneo e?oa?aoo?e c 148 iaeiaioaaiue ia 15 noi??ieao;
i?noeoue 270 noi??iie iaoeiiieniiai oaenoo.

INIIAIEE CI?NO

O anooi? iaa?oioiaaii aeooaeuei?noue, noi?ioeueiaaii iaoo ? caaea/?
aeine?aeaeaiiy, aeaii noeneo aiioaoe?th iiaeo iaoeiaeo iieiaeaiue ?
??oaiue oa ?aeiiaiaeaoe?? ii aeei?enoaiith ?acoeueoao?a aeena?oaoe??.

O ia?oiio ?icae?e? ioa?aeoa?eciaaii noai i?iaeaie, iaaaaeaii noeneee
iaeyae ioae?eaoe?e ii i?iaeai? e iaa?oioiaaii iaiao?aei?noue ?ic?iaee
iaoiae?a aeine?aeaeaiiy neiaoey?ieo ? neiaoey?ii cao?aieo iaoai?/ieo
nenoai.

Ae?oaee ?icae?e i?enay/aiee iaa?oiooaaiith aeai?o iai?yieo
aeine?aeaeaiue, iaaaaeai? i?eeeaaee aeine?aeaeaiiy eiie?aoieo neiaoey?ii
cao?aieo iaoai?/ieo nenoai ? aecia/aiee caaaeueiee i?eioeei iiaeaeueoeo
aeine?aeaeaiue.

.

. Iaoae

(1)

.

Oai??y neiaoey?ieo cao?aiue, ye i?aaeei, ia? ni?aao c ??aiyiiyie,
cia?aaeaieie o oae caaiiio oeoiiianueeiio aeaeyae?

(2)

– iaeee ia?aiao?. C?oeioaoenue ?c nenoaiith (2), aeine?aeiee a?ae/oaa?
i?e?iaeia aaaeaiiy c’ynoaaoe iiaeeea?noue cai?ie ?? a?eueo i?inoith
(i?eiaeii?, ciai?oiuei) neiaoey?iith nenoaiith

(3)

. Aeinoaoi? oiiae oaei? aeecueeino? aeathoueny oai?aiith I.I. Oeoiiiaa.
O ie?aiiio aeiaaeeo, a yeiio aei ??aiyiue (2) i?aae’yaeythoueny
“iaaei??i?” c iiaeyaeo iaoaiaoeea, aea i?e?iaei? aeey iaoai?/ieo caaea/
aeiiae, oey oai?aia iiaea aooe noi?ioeueiaaia a oaeee niin?a.

.

O o?aoueiio ?icae?e? icia/aia iiiyooy ?aiao aieiiiiii? nenoaie ?
aeine?aeaeoaai? aieiiiii? nenoaie c iino?eiei ?aiaii.

? aaaaeaia iiiyooy ?aiao aieiiiiii? nenoaie.

.

.

.

.

. O aeiaaeeo ieineiai ?ooo oeeo?o 3 a on?o ae?acao aeaiiai i?ae?icae?eo
ne?ae cai?ieoe ia 2, a i?e ?icaeyae? ?ooo ocaeiaae aeayei? in? – ia 1.

O i. 3.2 aeiaaaeaii ?yae eai ? oaei? oai?aie.

(ianiaeo ? aacianiaeo).

.

? ?aiaii iao?eoe? eaaae?aoe/ii? oi?ie e?iaoe/ii? aia?a??.

.

iaioa ?? /enea nooiai?a aie?, oi iao?eoey eaaae?aoe/ii? oi?ie
e?iaoe/ii? aia?a??, caienaii? a aoaeue-ye?e eaa?aiaeaa?e nenoai?
eii?aeeiao, ? ae?iaeaeaiith (neiaoey?iith).

– iao?eoeth

(6)

.

Iiiiiaeeaoe (5) ce?aa ia (6), iaea?aeeii aea?aaeaioio (5) (a cia/eoue, ?
(4)) nenoaio ??aiyiue

(7)

. (8)

Caeiaooa nenoaia ??aiyiue (7), (8) ? ocaaaeueiaiiyi ??aiyiue Eaa?aiaea
ia aeiaaeie aieiiiiieo nenoai, ui i?noyoue aaciania? aeaiaioe.

.

.

.

Iiaeia iieacaoe, ui a?aooaaiiy ni?aa?aeiioaiiy (8) aei aeaiaeo ??aiyiue
ia aeaeyae ??aiyiue ia aieeaa?. Oaeei /eiii, ni?aa?aeiioaiiy (8) iiaeia
?icaeyaeaoe ? ye ??aiyiiy a’yc?, aea oea iniaeeaiai oeio a’ycue –
aeeiai?/ia, ?aaeoe?y yei? aei??aith? ioeth.

. ??aiyiiy Eaa?aiaea o oeueiio aeiaaeeo iaae?iaeaeaieie ia?aoai?aiiyie
caiaeeoueny aei aeaeyaeo

, (9)

aea.

. I?ecaaaeaii ??aiyiiy A?aana-Aiiaey aiae?ciaaii? nenoaie aei aeaeyaeo

. (10)

, ui oa?aeoa?eco? ocaaaeueiai? neee, ??aiyiiy (4) iiaea aooe aai

a) caaaeaii aei ii?iaeueii? oi?ie, ? oiio (c o?aooaaiiyi i?eiouaiue i?i
aeaaee?noue) iaoe ?aeeiee ?ica’ycie, aai

a) iaoe iane?i/aiio iiiaeeio ?ica’yce?a, aai

a) ia iaoe aeiaeiiai ?ica’yceo.

ia? iane?i/aiio iiiaeeio ?ica’yce?a.

ia ia? ?ica’yce?a.

.

a?aei?iiee a?ae ioey, oi ??aiyiiy (4) iiaeia i?ecaanoe aei
ii?iaeueii? oi?ie.

.

,

,

iacaeaaeieo ii/aoeiaeo oiia.

, ui caaeiaieueiythoue ni?aa?aeiioaiith (8).

.

.

O i.3.4.5 oaea aoea io?eiaia oiiaa ?nioaaiiy ?aeeiiai ?ica’yceo
neiaoey?iiai ??aiyiiy ?ooo. C iaeyaeo ia iaaaaeai? aeua i??eoaaiiy,
iiaeia noi?ioethaaoe ?ioo aea?aaeaioio ?e oiiao.

Aeniiaie 1. sseui aeeiiaia oiiaa oai?aie 5, oi nenoaia ??aiyiue (7), (8)
(a oiio, ? ??aiyiiy (4)) ia? ?aeeiee ?ica’ycie.

.

ia?, ocaaae? eaaeo/e, ??ci? cia/aiiy.

, ui caaeiaieueiythoue oiiaai

oiiaai

(11)

aei??aith? ?aiao nenoaie a oe?e oi/oe?.

ae?iaeaeaia.

a oe?e oi/oe?.

Eaia 9. O ae?iaeaeai?e oi/oe?

aea?aaeaioia nenoai? ??aiyiue (7), (8).

– eaa?aiaeaaa nenoaia eii?aeeiao, ui ?aaeaiaioo?oueny oai?aiith 6, a

,

.

iaiaaeai? aeaaeeeie ooieoe?yie.

.

(13)

iaae?iaeaeaia.

.

C i?eaaaeaieo i??eoaaiue aeieeaa?, ui o iaae?iaeaeaieo eiio?ao?aoe?yo
nenoaio (13) iiaeia caienaoe a ii?iaeuei?e oi?i?

(14)

aea

?

– aeaye? aeiaeaoi? /enea.

(15)

– eiiiaeoia.

, ua iaeio iaeanoue

.

)

O i’yoiio ?icae?e? aeaia icia/aiiy ?aiao, ni?aaaaeeeaa ye aeey
aieiiiiieo, oae ? aeey iaaieiiiiieo nenoai, ? aeine?aeaeoaai?
iaaieiiiii? nenoaie.

neaey?ieie ??aiyiiyie

(16)

(17)

– nenoaia c iino?eiei ?aiaii.

.

Aeei?enoiaoth/e oie aea i?aeo?ae, ui e o ?icae?e? 3, i?eeaeaii aei
nenoaie ??aiyiue

(20)

??aiyiiy (20) ? ocaaaeueiaiiyi ??aiyiue A?aana-Aiiaey ia aeiaaeie,
eiee ?aia nenoaie iaioa /enea ?? nooiai?a aie?. Ieoaiiy ?nioaaiiy e
?aeeiino? ?ica’yceo ??aiyiiy (20) ae??oo?oueny oe?eeii aiaeia?/ii oiio,
ye oea ?iaeoueny a ?icae?e? 3 noiniaii ??aiyiue Eaa?aiaea.

.

iacaeaaeii a?ae aeaeyaeo aeiaeaoeiai? a’yc?.

iacaeaaeii a?ae aeaeyaeo aeiaeaoeiai? a’yc?.

.

Oinoee ?icae?e i?enay/aiee canoinoaaiith io?eiaieo aeua ?acoeueoao?a aei
aeine?aeaeaiiy eiie?aoieo iaoai?/ieo nenoai ? ?ic?iaoe? i?aeoe/ieo
iaoiae?a aecia/aiiy ?oiueiai ?aiao.

-eaiieea c aacianiaeie eaieaie ye neiaoey?ii? nenoaie c iino?eiei
?aiaii: ocaaaeueiai? ??aiyiiy Eaa?aiaea, ??aiyiiy Eaa?aiaea i?e
?ioaa?iai?e (“aieiiiii?e”) aeeiai?/i?e a’yc? ? ??aiyiiy A?aana-Aiiaey
i?e ia?ioaa?iai?e (“iaaieiiiii?e”) aeeiai?/i?e a’yc?. Aeine?aeaeoaai?
ieoaiiy i?i iaia?a?aio caeaaei?noue ?ica’yce?a neiaoey?ii cao?aiiai
??aiyiiy ?ooo a?ae iaeiai ia?aiao?a – iane eaiie.

ciaioo?oueny, i?e oeueiio ?aia ae?iaeaeaii? eiio?ao?aoe?? ca?aa?oueny
c ?aiaii oe??? iao?eoe?.

aiae?ciaaii? nenoaie aac aeiaeaoeiai? a’yc?.

nenoaie c aeiaeaoeiaith a’yccth aei??aith?

I?iaiae?ciaaia c iiaeyaeo aaee/eie ?aiao no?oeoo?a i?inoi?o
eiio?ao?aoe?e ?yaeo (ye ieineeo, oae ? i?inoi?iaeo) oa?i??ieo
aaaaoieaiiee?a ?c aacianiaeie eaieaie, o oiio /ene? eini?/iiai
iai?ioeyoi?a oeio “Space Shuttle”.

I?iaaaeaii aeaoaeueiee aea?ae ??aiyiue ?ooo ieineiai oa?i??iiai
aeaoeaiieea e aiae?c eiai ?ica’yce?a a ie?oc? ae?iaeaeaii?
eiio?ao?aoe??. Ia i?eeeaae? ieineiai aeaoeaiieea iieacaii, ui aeey
nenoai ?c ci?iiei ?aiaii oiiae oai?aie Oeoiiiaa ia aa?aioothoue a ie?oc?
ae?iaeaeaii? eiio?ao?aoe?? aeecueeino? ?ica’yce?a neiaoey?ii? ?
neiaoey?ii cao?aii? nenoai.

O i. 6.3 caeiaoo? ? aeine?aeaeoaai? neiaoey?ii cao?ai? oa neiaoey?i?
??aiyiiy A?aana-Aiiaey iaaieiiiiii? iaoai?/ii? nenoaie, ui yaey? niaith
oi?iai-noa?e/iee aa??aoi? iai?iiiai oeio, ? cai?iiiiiaaiee i?aeo?ae aei
ea?oaaiiy oe??th nenoaiith, ui aeei?enoiao? ?? neiaoey?io cao?ai?noue.

O i. 6.4 cai?iiiiiaaii can?a caaaeaiiy ??aiyiiy Eaa?aiaea neiaoey?ii?
iaoai?/ii? nenoaie aei ii?iaeueii? oi?ie, c?o/iee i?e /enaeueiiio
iiaeaethaaii? iecueeioaeaee?nieo aaaaoiaeaiaioieo iaoai?/ieo nenoai.

Iai?ee?ioe? i?iaeaiiino?iaai? aeaye? i?aeoiaee aei aeine?aeaeaiiy
?aaoey?ii cao?aieo nenoai (i. 6.5) ? aei e?euee?nii? ioe?iee iioeaie
iiaeaethaaiiy, iia’ycaieo ?c iaoi/iei caaaeaiiyi ia?aiao??a iaoaiaoe/ii?
iiaeae? (i. 6.6 ).

O nueiiiio ?icae?e? aeine?aeaeoaai? iniaeeaino? caaea/ ea?oaaiiy
neiaoey?ieie iaoai?/ieie nenoaiaie.

aia?a?? aiae?ciaaii? nenoaie caaeiaieueiythoue oaeei oiiaai:

,.

. Ocaaaeueiai? ??aiyiiy Eaa?aiaea (7), (8) o aeaiiio aeiaaeeo i?eeiooue
oaeee aeaeyae:

(21)

nenoaie (21) ??aiii??ii aneiioioe/ii no?eea.

iaaeeaea?oueny aei iane?i/aiiino?.

O i. 7.2 ae??oaii caaea/o i?i aneiioioe/io no?ee?noue noaio ??aiiaaae
neiaoey?ieo nenoai i?e ii/a?aaeiiio ea?oaaii?.

.

??aiii??ii aneiioioe/ii no?eeee.

O i. 7.3 ?icaeyiooi caaea/o i?i iioeiaeueia o niene? oaeaeeiae??
ii/a?aaeia ea?oaaiiy iaeeie iia?eueieie ia?ai?uaiiyie aeaoeaiieea ?c
aacianiaeie eaieaie. I?e i?oiaiiaeueiiio ?icoaooaaii? eaiie aeaia
caaea/a caiaeeoueny aei ae?iaeaeaii? caaea/? iioeiaeueiiai ea?oaaiiy,
caaaeueia ??oaiiy yei? io?eiaii aaoi?ii o 1989 ?ioe?. O aeai?e ?iaio?
aeey aeaii??iiai aeiaaeeo cai?iiiiiaaiee i?inoee ? eiino?oeoeaiee can?a
?ica’ycaiiy, ui aeei?enoiao? iniaeeaino? oeueiai aeiaaeeo, ? oiio
ni?aaaaeeeaee eeoa aeey iueiai, a oaeiae aaeineiiaeaii ?ica’ycaiiy
a?aeiia?aeii? caaea/? neioaco.

O i. 7.4 i?iaeiaaeaii ye?nia aeine?aeaeaiiy aeeoa?aioe?aeueieo ??aiyiue
?c ?ic?eaiith i?aaith /anoeiith, yeeie, cie?aia, iienothoueny nenoaie c
ii/a?aaeiei ea?oaaiiyi. ?yae caaea/ ea?oaaiiy eini?/ieie aia?aoaie
caiaeeoueny aei aeine?aeaeaiiy nenoai aeaeyaeo

(22)

, – aaeoi?, eiiiiiaioe yeiai iathoue oaeee aeaeyae:

, iathoue iaeo ?ia?oe?ei?noue, oea iiaea aooe c?iaeaia a oaeee niin?a:

. Oiae? ni?aaaaeeeaa oaea oaa?aeaeaiiy.

, aeinyaa? eiai ca e?ioeaaee /an.

O i. 7.5 iaea?aeaei iiaeaeueoee ?icaeoie ?ica’ycaiiy caaea/? i?i
noaa?e?co?i?noue aaoiiiiieo nenoai i?e ii/a?aaeiiio ea?oaaii?.

?icaeyiooi nenoaio

(23)

, ui caaeiaieueiy? oaeei aeiiaai:

nenoaie (23) aneiioioe/ii no?eeee;

– nenoaia (23) i?e oeueiio ea?oaaii? ia ia? eiacieo ?aaeei?a;

cae/aeii aenooia? iiaia aia?a?y nenoaie).

Iaeei ?c aa??aio?a oe??? caaea/? aoa ?icaeyiooee aaoi?ii o 1991 ?ioe?. O
aeai?e ?iaio? ?ica’ycaiiy cacia/aii? caaea/? iaea?aeaei iiaeaeueoee
?icaeoie. Iniiai? a?aei?iiino? iieyaathoue o ianooiiiio:

aoiae?a nenoaie;

– iioeiaeueia ea?oaaiiy ia caeaaeeoue yaiei /eiii a?ae /ano;

– aeei?enoai? ?ai?oa aac iaeaaeiiai iaa?oiooaaiiy iineeee,
noi?ioeueiaai? o aeae? eai, ? iaaaaeai? no?ia? aeieace oeeo eai.

– aeayea iino?eia /enei.

.

.

iiaa?oiyie

,.

.

, oiaoi, ia caeaaeiith yaii a?ae /ano.

AENIIAEE

?ica’yce?a ??aiyiue ?ooo neiaoey?ii cao?aii? aieiiiiii? nenoaie c
iino?eiei ?aiaii, caniiaai? ia aiae?c? yeia??ai? iao?eoe? ocaaaeueiaii?
neee. O ie?aieo i?aeoe/ii aaaeeeaeo aeiaaeeao oe? oiiae caaaeaii aei
ia?aa??ee aeeneiaoeaiino? ocaaaeueiaieo nee ii on?i aai /anoei?
eaa?aiaeaaeo eii?aeeiao.

Io?eiaii ??aiyiiy, ui iieno? iiiaiaeae ae?iaeaeaieo oi/ie, aeyaeaii
niaoe?aeuei? eii?aeeiaoe, c?o/i? aeey aiae?co aieiiiiieo nenoai ?c
ci?iiei ?aiaii, ? anoaiiaeaii, ui ?aia nenoaie o ae?iaeaeai?e oi/oe?
ca?aa?oueny c ?aiaii iao?eoe? eaaae?aoe/ii? oi?ie e?iaoe/ii? aia?a?? ? c
/eneii iacaeaaeieo a??ooaeueieo ia?ai?uaiue aeaea?oiaeo eii?aeeiao, ui
iienothoue iieiaeaiiy ianiaeo /anoie. Anoaiiaeaii, ui: oiiae oai?aie
Oeoiiiaa ia aa?aioothoue a ie?oc? ae?iaeaeaii? eiio?ao?aoe??
aeecuee?noue ?ica’yce?a neiaoey?ii cao?aieo ? neiaoey?ieo ??aiyiue ?ooo;
aeecuee?noue ?ica’yce?a iiaea iaoe i?noea eeoa i?e aeeiiaii?
aeiaeaoeiaeo oiia; ?oo neiaoey?ii? nenoaie, ui i?ioiaeeoue /a?ac
ae?iaeaeai? eiio?ao?aoe??, iaiiai?ioi?e a /an?; yeui ia? i?noea
cacia/aia aeecuee?noue ?ica’yce?a, oi a ie?oc? ae?iaeaeaii?
eiio?ao?aoe?? nenoaia iiaea ?icaeyaeaoeny ye aeayea nenoaia c iino?eiei
?aiaii. Aeey iaeiiai i?aeoe/ii aaaeeeaiai aeiaaeeo io?eiaii ye?nio
ioe?ieo e oiiae aeecueeino? a ie?oc? ae?iaeaeaii? eiio?ao?aoe??
?ica’yce?a neiaoey?ii cao?aieo ? a?aeiia?aeieo neiaoey?ieo ??aiyiue
?ooo. Iieacaii, ui o aeiaaeeo aeeiiaiiy oeeo oiia o yeino? ioeueiaiai
iaaeeaeaiiy ?ica’yceo ??aiyiue ?ooo neiaoey?ii cao?aii? nenoaie a ie?oc?
ae?iaeaeaii? oi/ee iiaea aeei?enoiaoaaoeny ?ica’ycie iaaii? neiaoey?ii?
iaoai?/ii? nenoaie c iino?eiei ?aiaii.

?ica’yce?a neiaoey?ii cao?aieo ??aiyiue ?ooo iaaieiiiiieo nenoai,
iiaoaeiaai? ia aiae?c? ocaaaeueiaieo nee cacia/aii? aeua aieiiiiii?
nenoaie.

-eaiieea c aacianiaeie eaieaie. Aeine?aeaeoaaia ieoaiiy i?i iaia?a?aio
caeaaei?noue ?ica’yce?a neiaoey?ii cao?aiiai ??aiyiiy ?ooo a?ae iaeiai
ia?aiao?a – iane eaiie. Cai?iiiiiaaii i?aeo?ae aei aecia/aiiy ?aiao
iaoai?/ii? nenoaie ?c ci?iiei ?aiaii o ae?iaeaeai?e eiio?ao?aoe??.
Io?eiaii ni?aa?aeiioaiiy aeey aecia/aiiy ?aiao nenoaie, ia yeo
iaeeaaeaii aeiaeaoeiao a’ycue. I?iaiae?ciaaii c iiaeyaeo aaee/eie ?aiao
no?oeoo?a i?inoi?o eiio?ao?aoe?e ?yaeo oa?i??ieo aaaaoieaiiee?a ?c
aacianiaeie eaieaie, o oiio /ene? eini?/iiai iai?ioeyoi?a oeio “Space
Shuttle”. I?iaaaeaii aeaoaeueiee aea?ae ??aiyiue ?ooo ieineiai
oa?i??iiai aeaoeaiieea e aiae?c eiai ?ica’yce?a a ie?oc? ae?iaeaeaii?
eiio?ao?aoe??. Ia i?eeeaae? ieineiai aeaoeaiieea iieacaii, ui aeey
nenoai ?c ci?iiei ?aiaii oiiae oai?aie Oeoiiiaa ia aa?aioothoue a ie?oc?
ae?iaeaeaii? eiio?ao?aoe?? aeecueeino? ?ica’yce?a neiaoey?ii? ?
neiaoey?ii cao?aii? nenoai. Ae?noai? ? aeine?aeaeoaai? neiaoey?ii
cao?ai? ? neiaoey?i? ??aiyiiy A?aana-Aiiaey iaaieiiiiii? iaoai?/ii?
nenoaie, ui yaey? niaith oi?iai-noa?e/iee aa??aoi? iai?iiiai oeio, ?
cai?iiiiiaaiee i?aeo?ae aei ea?oaaiiy oe??th nenoaiith, ui aeei?enoiao?
?? neiaoey?io cao?ai?noue. Cai?iiiiiaaii can?a caaaeaiiy ??aiyiiy
Eaa?aiaea neiaoey?ii? iaoai?/ii? nenoaie aei ii?iaeueii? oi?ie, c?o/iee
i?e /enaeueiiio iiaeaethaaii? iecueeioaeaee?nieo aaaaoiaeaiaioieo
iaoai?/ieo nenoai.

Iaea?aeaii aeinoaoi? oiiae aneiioioe/ii? no?eeino? noaio ??aiiaaae
neiaoey?ieo neea?iiiiieo iaoai?/ieo nenoai ?c iino?eiei ?aiaii.
Iieacaii, ui neiaoey?i?noue i?ecaiaeeoue aei oiai, ui iaa?oue iacia/i?
iino?eii ae?th/? cao?aiiy iiaeooue ?noioii aieeaaoe ia oa?aeoa? ?ooo
iaoai?/ii? nenoaie; cai?iiiiiaaiee i?aeo?ae aei ea?oaaiiy oaeeie
nenoaiaie, caniiaaiee ia aeei?enoaii? ii/a?aaeiiai ea?oaaiiy, ui
aeicaiey? cia/ii iineaaeoe cacia/aiee aieea. Anoaiiaeaii aeinoaoi? oiiae
aneiioioe/ii? no?eeino? noaio ??aiiaaae neiaoey?ieo iaoai?/ieo nenoai ?c
iino?eiei ?aiaii i?e ii/a?aaeiiio ea?oaaii?. Ae??oaii caaea/o i?i
iioeiaeueia o niene? oaeaeeiae?? ii/a?aaeia ea?oaaiiy iaeeie
ia?ai?uaiiyie aeaoeaiieea c aacianiaeie eaieaie; aeey aeaii??iiai
aeiaaeeo io?eiaiee iiaee eiino?oeoeaiee aeieac oai?aie i?i iioeiaeueia
ii/a?aaeia ea?oaaiiy, a oaeiae aaeineiiaeaii ?ica’ycaiiy a?aeiia?aeii?
caaea/? neioaco. Ciaeaeaii aeinoaoi? oiiae aeiaeaoii? ?iaa??aioiino?
noaoe?iia?ii? iiiaeeie nenoaie c ?ic?eaiith i?aaith /anoeiith, ui iieno?
ii/a?aaeio nenoaio ea?oaaiiy eini?/iei e?oaeueiei aia?aoii, i?e
iaiaaeaieo ii iiaeoeth iino?eii ae?th/eo cao?aiiyo. Io?eiaii
ocaaaeueiaiiy oai?aie i?i noaa?e?co?i?noue noaio ??aiiaaae aaoiiiiieo
nenoai i?e ii/a?aaeiiio ea?oaaii? ia a?eueo oe?ieee eean ii/a?aaeiiai
ea?oaaiiy.

Noi?ioeueiaaii oa aeiaaaeaii ?yae eai ? oai?ai, ui ooai?ththoue
oi?iaeueio iniiao aeey iioe?aiiy o?aaeeoe?eieo iaoiae?a aiae?oe/ii?
aeeiai?ee ia iaoai?/i? nenoaie, ui i?noyoue ye iania?, oae ? aaciania?
/anoee.

NIENIE I?AOeUe, IIOAEIEIAAIEO CA OAIITH AeENA?OAOeI?

1. AEa/aa I.I. Neiaoey?ii aiciouaiiua iaoaie/aneea nenoaiu.-
Aeiai?iiao?iane: EOI IAIO, 1998.-132 n.

2. AEa/aa I.I. I auai?a aeiionoeiuo iia?aoiinoae ia?aiao?ia
iaoaiaoe/aneeo iiaeaeae EA// I?iaeoe?iaaiea EA e eo nenoai. -Eeaa:
Iaoeiaa aeoiea, 1985.-N. 22-27.

3. AEa/aa I.I., Eiaca?ue N.A. E aii?ino enneaaeiaaiey /oanoaeoaeueiinoe
iaoaiaoe/aneeo iiaeaeae EA// I?iaeoe?iaaiea EA e eo nenoai. -Eeaa:
Iaoeiaa aeoiea, 1985.- N. 27-32.

4. Aaeiiiaeei I.A., AEa/aa I.I., Oa?ania N.A. E iaoaiaoe/aneiio
iiaeaee?iaaieth aeeiaieee nenoaiu aeaoo oae, naycaiiuo oi?oaei
iiiaicaaiieeii // I?eeeaaeiay iaoaieea.-1986.- ?7.- N. 96-103.

5. Ae?aiianeee A.E., AEa/aa I.I. E enneaaeiaaieth oi?oaie iaoaie/aneie
nenoaiu n eciaiyaiie eiioeao?aoeeae// Caaea/e aeeiaieee iiiaiia?iuo
iaoaie/aneeo nenoai. -Eeaa: Iaoeiaa aeoiea, 1986.- N. 38-41.

6. AEa/aa I.I. Iiaeaeaeiia oi?aaeaiea iiiaicaaiiui iaoaieciii n
aacianniauie caaiueyie // Oaoie/aneay iaoaieea.- 1993.- Aui.1. – N.
23-31.

AEa/aa I.I., Oi?ioeeia A.N. E aiaeeco aeaeaeaiey iaeiiai eeanna
iaoaie/aneeo nenoai n ?ac?uaiie iaiaeii?iaeiinoueth // I?eeeaaeiay
iaoaieea.-1993.-?3.- N. 86-89.

AEa/aa I.I Iioeiaeueiia iiaeaeaeiia oi?aaeaiea iaeuie iiai?ioaie EEA,
/.II. Iioeiaeueiue neioac // Aaoiiaoeea e oaeaiaoaieea.- 1995. – ?9. –
N. 22-29.

AEa/aa I.I. Iniaaiiinoe iienaiey iaoaiaoe/aneeo iiaeaeae iaoaie/aneeo
nenoai, aeeth/athueo yeaiaiou n ioeaauie iannaie //Oaoie/aneay iaoaieea.
-1998.- Aui.6.- N. 112-124.

AEa/aa I.I. O?aaiaiey aeaeaeaiey iaoaie/aneeo nenoai, aeeth/athueo
yeaiaiou n ioeaauie iannaie // Oaoie/aneay iaoaieea. – 1998. – Aui.6. –
N. 125-135.

AEa/aa I.I. Noaaeeecaoeey iieiaeaiey ?aaiiaaney aaoiiiiiuo nenoai i?e
iii/a?aaeiii oi?aaeaiee // Aaoiiaoeea e oaeaiaoaieea.- 1998. – ?3. – N.
3-9.

AEa/aa I.I. Noaaeeecaoeey iieiaeaiey ?aaiiaaney neiaoey?iie iaoaie/aneie
nenoaiu i?e iii/a?aaeiii oi?aaeaiee // Aano. Eeaaneiai oi-oa, na?ey
oec.-iao. iaoee.- 1999.- Aui.2,.- N. 82-90.

AEa/aa I.I. O?aaiaiey aeaeaeaiey oaeaneiie/aneiai iiiaicaaiieea n
aacianniauie caaiueyie // Oaoie/aneay iaoaieea. – 1999.- ?1.- N.
136-141.

AEa/aa I.I. Ii?aaeaeaiea ?aiaa oa?ie?iuo iiiaicaaiieeia, niaea?aeaueo
aacianniaua caaiuey // Oaoie/aneay iaoaieea. – 1999.- ? 1.- N.
128-136.

A.n. 293419 NNN?, IEE A 64 G 1/48, 1/42 Niinia oi?aaeaiey i?eaioaoeeae e
noaaeeecaoeeae einie/aneiai aiia?aoa e ono?ienoai aeey aai inouanoaeaiey
/ A.I. Aeiaoia, I.A. Aaeiiiaeei, I.I. AEa/aa, A.A. Eiceia, I.O.
Nae?eaeaiei (NNN?).- N3201935. Cayaeaii 17.05.88; Iioae. 03.05.89.
(?annae?a/aii)

A.n. 299158 NNN?, IEE A64 G 1/28, 1/42 Niinia oi?aaeaiey i?eaioaoeeae e
noaaeeecaoeeae einie/aneiai aiia?aoa / A.I. Aeiaoia, I.A. Aaeiiiaeei,
I.I. AEa/aa, A.A. Eiceia, I.O. Nae?eaeaiei (NNN?).- N 3201934. Cayaeaii
17.05.88; Iioae. 01.08.89. (?annae?a/aii)

AEa/aa I.I. Iioeiaeueiia ii auno?iaeaenoaeth iiaeaeaeiia oi?aaeaiea
iaeuie iiai?ioaie EA n iaoiae/iie nenoaiie iaiaiiiai oeia// O?. XVII
Iao/iuo /oaiee ii einiiiaaoeea – Iineaa-1993.- N.20.

AEa/aa I.I., Oa?ania N.A. Ea/anoaaiiue aiaeec neiaoey?iuo o?aaiaiee
oi?aaeyaiiai aeaeaeaiey nenoaiu oae, niaaeeiaiiuo aacianniauie
iiiaicaaiieeaie// O?. Iaaeaeoia?. eiia?anna ii aieueoei einie/aneei
(ICOLASS-93) – Iiaai?iae-1993.- N.40.

Zhechev M. Dynamic Equations for Loaded Space Manipulator in Excessive
Systems of Independent Generalized Coordinates// Proc. Intern. Congress
on Industrial and Applied Mathematics (ICIAM-95)- Hamburg (Germany),
1995.- P. 489.

AEa/aa I.I. Iaoaie/aneea nenoaiu n ioeaauie iannaie//O?. Iaaeaeoia?.
eiio. “Onoie/eainoue, oi?aaeaiea e aeeiaieea oaa?aeiai oaea” – Aeiiaoee-
1996.- N.40.

AEa/aa I.I. Neiaoey?ii aiciouaiiua aieiiiiiua nenoaiu// O?. Iaaeaeoia?.
eiio. “Iaoaiaoeea a eiaeono?ee”- Oaaai?ia (?inney)- 1998.- N.135-136.

AEa/aa I.I. Aeeiai?ea neiaoey?ii cao?aieo iaoai?/ieo nenoai. – ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy aeieoi?a o?ceei-iaoaiaoe/ieo
iaoe ca oaoii 01.02.01 – oai?aoe/ia iaoai?ea. – ?inoeooo i?eeeaaeii?
iaoaiaoeee ? iaoai?ee IAI Oe?a?ie, Aeiiaoeuee, 1999.

Aeena?oaoe?y i?enay/aia aeine?aeaeaiith neeaaeieo aaaaoiaeaiaioieo
iaoai?/ieo nenoai, ?oo yeeo iieno?oueny neiaoey?ii cao?aieie ??aiyiiyie.
O ?iaio? ?ice?eo? iia? aeanoeaino? iaoai?/ieo nenoai, ui i?noyoue
aeaiaioe, iani-?ia?oe?ei? oa?aeoa?enoeeaie yeeo ?noioii
a?ae??ciythoueny. Io?eiai? iia? oi?ie cia?aaeaiiy ??aiyiue Eaa?aiaea ?
A?aana-Aiiaey, oiiae iaia?a?aii? caeaaeiino? ?ica’yce?a neiaoey?ii
cao?aieo ??aiyiue ?ooo a?ae iaeeo iani-?ia?oe?eieo oa?aeoa?enoee, oiiae
?nioaaiiy e ?aeeiino? ?ica’yce?a neiaoey?ieo ??aiyiue ?ooo.
Cai?iiiiiaaii i?aeo?ae aei ea?oaaiiy neiaoey?ieie iaoai?/ieie nenoaiaie
? aeine?aeaeoaai? ieoaiiy no?eeino? i?e oaeiio ea?oaaii?. Io?eiai?
?acoeueoaoe iiaeooue aooe aeei?enoai? ye aiae?oe/iee aia?ao i?e
aeine?aeaeaii? aeeiai?ee neeaaeieo aaaaoiaeaiaioieo iaoai?/ieo nenoai,
cie?aia, aaeeeeo i?ioyaeieo ? i?inoi?iai ?icaeiooeo eini?/ieo
eiino?oeoe?e.

Eeth/ia? neiaa: neiaoey?i? ??aiyiiy, neiaoey?ii cao?ai? ??aiyiiy,
?nioaaiiy e ?aeei?noue ?ica’yce?a, iaia?a?aia caeaaei?noue.

#14.2.

AEa/aa I.I. Aeeiaieea neiaoey?ii aiciouaiiuo iaoaie/aneeo nenoai. –
?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie aeieoi?a oeceei-
iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.02.01 – oai?aoe/aneay
iaoaieea. – Einoeooo i?eeeaaeiie iaoaiaoeee e iaoaieee IAI Oe?aeiu,
Aeiiaoee, 1999.

?acaeoea oaoieee ana /aua i?eaiaeeo e iaiaoiaeeiinoe aiaeeca neiaeiuo
iiiaiyeaiaioiuo iaoaie/aneeo nenoai n nouanoaaiii ioee/athueieny
ianni-eia?oeeiiiuie oa?aeoa?enoeeaie, i?e enneaaeiaaiee eioi?uo
noaiaea?oiui i?eaiii eiaeaia?iie i?aeoeee yaeyaony i?aiaa?aaeaiea
ioaeaeueiuie ianni-eia?oeeiiiuie oa?aeoa?enoeeaie. A neeo oe?ieie
?ani?ino?aiaiiinoe yoiai i?eaia anoanoaaiii no?aieaiea iino?ieoue /aoeea
i?eaioe?iaaiiua ia enneaaeiaaoaeae-iaoaieeia e?eoa?ee, eiaaea yoi iiaeii
aeaeaoue, a eiaaea eniieueciaaiea yoiai i?eaia iiaeao i?eaanoe e iioa?a
ea/anoaaiiuo naienoa iiaeaee?oaiie nenoaiu; e ioaaoeoue ia aii?in /oi
aeaeaoue, anee oi?iuaiiua o?aaiaiey aeaeaeaiey ieacaeenue neiaoey?iuie.

I?eiaiaiea ecaanoiuo iaoiaeia nia?aiaiiie iaoaiaoe/aneie oai?ee
neiaoey?iuo aiciouaiee e o?aaiaieyi aeaeaeaiey neiaeiuo iiiaiyeaiaioiuo
neiaoey?ii aiciouaiiuo iaoaie/aneeo nenoai iaoaeeeaaaony ia na?ueaciua,
/anoi i?aeoe/anee iai?aiaeieeiua i?aiyonoaey, iaoneiaeaiiua
a?iiicaeeinoueth iaoaiaoe/aneeo iiaeaeae oaeeo nenoai. Iaeiaei o?aaiaiey
aeaeaeaiey, aeaaiaea?y naiae iaoaie/aneie i?e?iaea, iaeaaeatho
naienoaaie, iicaieythueie auaeaeeoue eo a ioaeaeueiue eeann iaueiiaaiiuo
aeeooa?aioeeaeueiuo o?aaiaiee. I?e aiaeeca i?inouo neiaoey?ii
aiciouaiiuo iaoaie/aneeo nenoai yoe naienoaa iaaeyaeii i?iyaeythony a
aueeaaeeao, e iiyoiio eniieuecothony i?e iouneaiee ?aoaiee. A neo/aa
enneaaeiaaiey neiaeiuo iaoaie/aneeo nenoai yoe naienoaa i?iyaeythony ia
oae i/aaeaeii. A oi aea a?aiy eniieueciaaiea yoeo naienoa,
oa?aeoa?ecothueo iaoaie/aneea naienoaa enneaaeoaiuo neiaoey?ii
aiciouaiiuo o?aaiaiee, nouanoaaiii oi?iuaao ?aoaiea caaea/e. Iiyoiio
aianoi o?aaeeoeeiiiiai iiaeoiaea, eiaaea enneaaeiaaiea neiaoey?ii
aiciouaiiie iaoaie/aneie nenoaiu ?acaeaaaony ia aeaa yoaia, ia ia?aii ec
eioi?uo iieo/atho o?aaiaiey aeaeaeaiey, a ia aoi?ii – e iieo/aiiui
“iaacee/aiiui” o?aaiaieyi i?eiaiythony iaoiaeu iaoaiaoe/aneie oai?ee
neiaoey?ii aiciouaiiuo o?aaiaiee, oeaeaniia?acii eniieueciaaoue
iiaeoiae, i?e eioi?ii aiaeec o?aaiaiee aeaeaeaiey auiieiyaony n o/aoii
eo iaoaie/aneie i?e?iaeu. Eiuie neiaaie aicieeaao iaiaoiaeeiinoue a
?ac?aaioea iaoiaeia, eioi?ua au o/eouaaee iaoaie/aneoth i?e?iaeo
enneaaeoaiuo o?aaiaiee, oi anoue iaoiaeia enneaaeiaaiey neiaoey?iuo e
neiaoey?ii aiciouaiiuo iaoaie/aneeo nenoai.

Aeenna?oaoeey iinayuaia enneaaeiaaieth neiaeiuo iiiaiyeaiaioiuo
iaoaie/aneeo nenoai, aeaeaeaiea eioi?uo iienuaaaony neiaoey?ii
aiciouaiiuie o?aaiaieyie.

; oneiaey nouanoaiaaiey e aaeeinoaaiiinoe ?aoaiee neiaoey?iuo
o?aaiaiee, iieo/athueony ec neiaoey?ii aiciouaiiuo o?aaiaiee aeaeaeaiey
i?e iaioeaiee iaeuo ianni-eia?oeeiiiuo oa?aeoa?enoee; niiniau
i?eaaaeaiey neiaoey?iuo o?aaiaiee aeaeaeaiey e ii?iaeueiie eee ae?oaie
oi?ia, oaeiaiie aeey aeaeueiaeoaai ea/anoaaiiiai eee /eneaiiiai aiaeeca;
ea/anoaaiiua naienoaa neiaoey?iuo nenoai e iniaaiiinoe oi?aaeaiey
oaeeie nenoaiaie. Iieo/aiu iiaua oi?iu i?aaenoaaeaiey o?aaiaiee
Eaa?aiaea e Aeaana-Aiiaey, oaeiaiua aeey iienaiey neiaoey?iuo
iaoaie/aneeo nenoai. I?aaeeiaeai iiaeoiae e oi?aaeaieth neiaoey?iuie
iaoaie/aneeie nenoaiaie e enneaaeiaaiu aii?inu onoie/eainoe i?e oaeii
oi?aaeaiee. Aeieacaiiua eaiiu e oai?aiu i?aaenoaaeytho niaie
oi?iaeueioth aaco aeey ?ani?ino?aiaiey o?aaeeoeeiiiuo iaoiaeia
aiaeeoe/aneie aeeiaieee ia iaoaie/aneea nenoaiu, aeeth/athuea eae
ianniaua, oae e aacianniaua /anoeoeu.

Iieo/aiiua ?acoeueoaou iiaoo auoue eniieueciaaiu eae aiaeeoe/aneee
aiia?ao i?e enneaaeiaaiee aeeiaieee neiaeiuo iiiaiyeaiaioiuo
iaoaie/aneeo nenoai, a /anoiinoe, aieueoeo i?ioyaeaiiuo e
i?ino?ainoaaiii ?acaeouo einie/aneeo eiino?oeoeee. Onoaiiaeaiiua oneiaey
aeecinoe ?aoaiee o?aaiaiee aeaeaeaiey neiaoey?ii aiciouaiiuo e
neiaoey?iuo nenoai iicaieytho ei??aeoii oi?iuaoue iaoaiaoe/aneea iiaeaee
iaoaie/aneeo nenoai, aeeth/athueo yeaiaiou n nouanoaaiii ioee/athueieny
ianni-eia?oeeiiiuie oa?aeoa?enoeeaie. Auyaeaiiua naienoaa neiaoey?iuo
o?aaiaiee aeaeaeaiey aeatho aiciiaeiinoue yooaeoeaii enneaaeiaaoue
oi?iuaiiua o?aaiaiey aeaeaeaiey, a oaeaea onoaiaaeeaaoue ia ea/anoaaiiii
o?iaia oaeea iniaaiiinoe iaoaie/aneeo nenoai, eae iiauoaiiay
/oanoaeoaeueiinoue aeaeaeaiey e iinoiyiii aeaenoaothuei aiciouaieyi,
aiciiaeiinoue oaea?iuo acaeiiaeaenoaee, iaee/ea aunieinei?inoiuo
?aaeeiia e o.ae. I?aaeeiaeaiiue iiaeoiae e oi?aaeaieth neiaoey?iuie
nenoaiaie iaania/eaaao ineaaeaiea aeeyiey auniei/anoioiuo iinoiyiii
aeaenoaothueo aiciouaiee ia aeaeaeaiea neiaoey?iuo nenoai.

Eeth/aaua neiaa: neiaoey?iua o?aaiaiey, neiaoey?ii aiciouaiiua
o?aaiaiey, nouanoaiaaiea e aaeeinoaaiiinoue ?aoaiee, iai?a?uaiay
caaeneiinoue.

#14.3.

Zhechev M.M. Dynamics of singular disturbed mechanical systems.-
manuscript.

Thesis for a doctor’s degree in physics and mathematics sciences by
specialty 01.02.01 – theoretical mechanics.- Institute of Applied
Mathematics and Mechanics of the NAS of Ukraine, Donetsk, 1999.

The dissertation deals with study of complex multi-element mechanical
systems whose motion is described by singular disturbed equations. New
properties of mechanical systems incorporating elements with essentially
differing mass-inertia characteristics are revealed. New forms of the
Lagrange’s and Gibbs-Appell equations, continuous dependence conditions
for solution of singular disturbed equations of motion incorporating
small mass-inertia characteristics, conditions of existence and
uniqueness in solutions of singular equations of motion are obtained. An
approach for singular mechanical system control is proposed and
stability problems under such control are studied. Examples of
application of the developed methods to study specific mechanical
systems are given. The results obtained can be used as an analytical
tool to study dynamics of complex multi-element mechanical systems, in
particular, spread-out and spatially developed space structures.

Key words: singular equations, singular disturbed equations, existence
and uniqueness in solutions, continuous dependence.

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