10

EE?ANUeEEE IAOe?IIAEUeIEE OI?AA?NEOAO

?IAI? OA?ANA OAA*AIEA

CAOA??I Na?a?e Oae?eniae/

OAeE 517.93

AA??AOe?EIEE IAOIAe AeINE?AeAEAIIss

EAAC?IA??IAeE*IEO ?ICA’ssCE?A

EAA?AIAEAAEO NENOAI

01.01.02 – aeeoa?aioe?aeuei? ??aiyiiy

AAOI?AOA?AO

aeena?oaoe?? ia caeiaoooy iaoeiaiai nooiaiy

eaiaeeaeaoa o?ceei-iaoaiaoe/ieo iaoe

Ee?a-1999

Aeena?oaoe??th ? ?oeiien

?iaioa aeeiiaia a Ee?anueeiio iaoe?iiaeueiiio oi?aa?neoao? ?iai? Oa?ana
Oaa/aiea

Iaoeiaee ea??aiee: aeieoi? o?ceei-iaoaiaoe/ieo iaoe

aeioeaio IA?ANTHE ?ai? Inoaiiae/

Io?oe?ei? iiiiaioe: aeieoi? o?ceei-iaoaiaoe/ieo iaoe

noa?oee iaoeiaee ni?a?ia?oiee,i?ia?aeiee iaoeiaee ni?a?ia?oiee

OEA*AIEI A?eoi? ?aaiiae/,

?inoeooo iaoaiaoeee IAI Oe?a?ie, i. Ee?a

aeieoi? o?ceei-iaoaiaoe/ieo iaoe

i?ioani?,

caa?aeoaa/ eaoaae?e i?eeeaaeii? iaoaiaoeee ? iaoai?ee IAO?EOEI ?iiai
?aaiiae/,

*a?i?aaoeueeee aea?aeaaiee oi?aa?neoao

?iai? TH. Oaaeueeiae/a, i. *a?i?aoe?

I?ia?aeia onoaiiaa: Iaeanueeee aea?aeaaiee oi?aa?neoao ?i. ?. ?.
Ia/i?eiaa

Caoeno a?aeaoaeaoueny 25.09.2000 ?. i 14 aiaeei? ia can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee Ae 26.001.37 Ee?anueeiai iaoe?iiaeueiiai
oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea ca aae?anith 252127, i. Ee?a-127,
i?iniaeo aeaae. Aeooeiaa, 6, Ee?anueeee iaoe?iiaeueiee oi?aa?neoao ?iai?
Oa?ana Oaa/aiea, iaoai?ei-iaoaiaoe/iee oaeoeueoao.

C aeena?oaoe??th iiaeia iciaeiieoenue o iaoeia?e a?ae?ioaoe?
oi?aa?neoaoo ca aae?anith: i. Ee?a, aoe. Aieiaeeie?nueea, 58.

Aaoi?aoa?ao ?ic?neaiee 20.07.2000

A/aiee nae?aoa?

niaoe?ae?ciaaii? a/aii? ?aaee IIEEss*OE I.I.

CAAAEUeIA OA?AEOA?ENOEEA ?IAIOE

Aeooaeueiinoue oaie.

Aeenapoaoeieia piaioa ipenay/aia aeineiaeaeaiith eaaciiapiiaee/ieo
pic-a’yceia eaapaiaeaaeo nenoai.

Eaaciiapiiaee/iee poo ? iaeiei c iniiaieo ia’?eoia aea/aiiy a oaipi?
eieeaaiue. Haiaoiaeiinoue eiai aeineiaeaeaiiy aeeeoo?oueny ieceith
aaaeeeaeo caaea/ iaaanii? iaoai?ee (aeeth/ii c ieoaiiyi no?eeino?
niiy/ii? nenoaie oa ?icii-ae?eii oaeaeeinoae c??ie a aaeaeoeoe?), oai???
a??ineii?a, eiio?ieueiaaiiai oa?iiyaea?iiai neioaco, no?eeino? ?ooo
/ano?iie o i?enei?thaa/ao, o?ceee oaa?aeiai o?ea, oiui.

Iniaeeai aapoi iiaeepaneeoe oie oaeo, ui eaaciiapiiaee/ii pooe
ipepiaeiei /eiii aeieeathoue o iioaapiaieo caaea/ao eeane/ii? iaoaiiee.
?oo iioaapiaii? eiinapaaoeaii? nenoaie c N nooiaiyie aieueiinoi o
aeiaaeeo, eiee aii aiaeaoaa?oueny o iaiaaeaiie iaeanoi oaciaiai
ipinoipo, iiaeia cia?aceoe ye poo oi/ee ii iiaapoii N-aeiipiiai oipa,
aeeaaeaiiai o 2N-aeiipiee oaciaee ipinoip.

Iapoi nenoaiaoe/ii aeineiaeaeaiiy pooia cacia/aiiai oeio ipiaiaeeeeny
Ioaieapa, Aieai, Aac?eiae/ai. Cia/iee aieea ia ?icaeoie oai???
iae?i?eieo aaaaoi/anoioieo eieeaaiue iaee ooiaeaiaioaeuei? ?iaioe I.
I. E?eeiaa oa I.I. Aiaiethaiaa. A. I. Eieiiaipia, A. ?. Apiieueae oa
TH. Iicap (J. Moser) noaipeee nopiao oaipith caopaiue eaaciiapiiaee/ieo
pooia aaiieueoiiiaeo nenoai, ui ? aeecueeeie aei iioaapiaieo
(EAI-oaipith).Aaaiiee aianie o oaipith caopaiue eaaciiapiiaee/ieo
pica’yce?a oa iiaapiaioieo oipia iaaaoi-iiiieo nenoai aoei cpiaeaii
TH.I.Ieopiiieuenueeei oa A.I. Naiieeaieii. Cacia/aii aeineiaeaeaiiy
picaeaaeeny aaaaoueia aaoipaie, ? a iniiaiiio ipiai-aeeeeny o iaaeao
oaipi? caopaiue. Haeieaeueii oaipaie inioaaiiy eaaci — (iaeaea)
iapiiaee/ieo pica’yceia inoioii iaeiiieieo nenoai c iaaieie
aeanoeainoyie iiiioiiiinoi aoee iaeapaeaii a piaioao A. ?. Iapiaa, TH.
A. Opoaiieiaa, A. A. Iaieiaa.

Iaeiei c iniiaieo iinopoiaioia aiae?co nenoai eeane/ii? iaoai?ee ua c
/ania Aeeapa, Iiiapoth?, Aaiieueoiia ? aapiaoeieiee iaoiae. Oeae iaoiae
oepiei canoiniaoaaany aei aeineiaeaeaiiy inoioii iaeiiieieo iapiiaee/ieo
nenoai. Oiio caeo/aiiy eiai aei aea/aiiy eaaciiapiiaee/iiai pooo a
eaapaiaeaaeo nenoaiao ? aeineoue ipepiaeiei.

Ha iiaeeeainoue canoinoaaiiy aapiaoeieiiai iaoiaeo aeey aeineiaeaeaiiy
eaaciiapiiaee/iiai pooo iaaooue aiapoa caapioa oaaao Iapniaaeue (I. C.
Percival). Noipioeueiaaiee iei aapiaoeieiee ipeioeei aea? iiaeeeainoue
?ioa?-i?aooaaoe iiaapiaioiee oip eaapaiaeaai? nenoaie, ui iana
eaaciiapiiaee/ii pooe c oieniaaiei iaaipii /anoio, ye aenopaiaeue
iaaiiai ooieoeiiiaeo.

Ciepaia, oae caaii eieiiaipianueei oipe, ui aeieeathoue o EAI-oaipi?, ?
aenopaiaeyie aapiaoeieiiai ipeioeeia aeey nenoai, ui ? aeecueeeie aei
iioaa-piaieo, i aaeoipia /anoio
picscalex100010009000003880000000200120000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02600180011200000026060f001a00ffffffff00001000
0000c0ffffff2600000040010000860100000b00000026060f000c004d61746854797065
0000300010000000fb0280fe0000000000009001010000020002001053796d626f6c0002
040000002d01000008000000320a00011c000100000077000a00000026060f000a00ffff
ffff01000000000010000000fb021000070000000000bc02000000cc0102022253797374
656d00cc040000002d01010004000000f00100000300000000000020526f00ffffff0000
00000000000000ffffff00000000 c neeueii ianoiipieie eiiiiiaioaie. Aeey
nenoai, ui ? aeaeaeeie aiae iioaapiaieo, oa aeey iaiipiaeueii noiipieo
/anoio o aeiaaeeo aeaio nooiai?a a?eueiino? aenopaiaeyie aiaeiiaiaeiiai
ooieoeiiiaeo ? eaioipi-oipe (cantori), iiaapiaioii iiiaeeie, ui
iopeiothoueny aeeaaeaiiyi o oaciaee ipinoip eaioipiai? iiaeiiiaeeie
noaiaeapoiiai aeaiaeii?iiai oipa.

Canoinoaaiiy aa??aoe?eiiai iaoiaeo o aeiaaeeo iaaaoiiiiii? nenoaie
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 (1)

aea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– aaeoip c
paoeiiiaeueii iacaeaaeieie eiiiiiaioaie,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– aeaaeea ooieoeiy,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 – noaiaeapoiee
m-aeiipiee oip, iieyaa? a oiio, ui ooieoe?th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 , yea
ii?iaeaeo? eaaciiapiiaee/iee pica’ycie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 (1), ooeathoue ye aenopaiaeue ooieoeiiiaea
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Aeineiaeaeaiith iaeaea iapiiaee/ieo nenoai ipena’y/aiee oeeee piaio J.
Blot (1988 – 1995). A piaioao oeueiai aaoipa iniiaia oaaaa
ipeaeiey?oueny aa??aoe?eiiio iaoiaeo aeiaaaeaiiy inioaaiiy neaaeeo
pica’yceia eaapaiaeaaeo nenoai.

A piaioao I. Aapaapa oa E. *aeaiy (1995, 1996) ia eeoa iaapoioiaaii
inioaaiiy ocaaaeueiaiiai pica’yceo nenoaie
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aea A ? neiaope/iith aeiaeaoii aecia/aiith iaopeoeath ?ici??o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, f(t) –
eaaciiapiiaee/ia, W – aeaaeea, aeiaaeueii iioeea ooieoeiy, aea e
iieacaii, ui oaeee ocaaaeueiaiee pica’ycie caiaa?oueny c eeane/iei. Oi
ae naii aaoipe ca aeiiiiiaith aapiaoeieiiai iaoiaea aeiaiaeyoue
inioaaiiy eeane/iiai eaaciiapii-aee/iiai pica’yceo piaiyiiy Aethooiiaa
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aea a – aeienia /enei, f(t) – eaaciiapiiaee/ia ooieoeiy, aeey aeiaaeeo
b>0 (1997 ??e). Aeey oeueiai canoiniao?oueny oaipaia ipi niaeeiao
oi/eo.

Cia/ii neeaaei?oith ? caaea/a i?i ?nioaaiiy eaac?ia??iaee/ieco
?ica’yce?a eaa?aiaeaaeo nenoai c neeiaith ooieoe??th, yea ia ?
aeiaaeueii iioeeith. Aei inoaiiueiai /ano a?aeiia?aei? ?acoeueoaoe aoei
io?eiaii eeoa aeey ??aiyiue aeineoue niaoe?aeueiiai aeaeyaeo.

Oae, o piaioao AE. Aei (1993), a oaeiae Oopi’? oa niiaaaoipia (1992,
1996), aapiaoeieiee iaoiae aeeipenoiao?oueny aeey aiaeooeaiiy neaaeeo
iaeaea iapiiaee/ieo ca Aacieiae/ai pica’yce?a piaiyiue pooo iayoieea
iiae aieeaii iaeaea iapiiaee/ii? ciaiioiuei? neee
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oa
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,

aea x,c,b,A –ae?eni? /enea, A>0, e(t) – iaeaea iapiiaee/ia ooieoeiy.

Cacia/eii, ui a ieiei ianoieeeo eaaciiapiiaee/ieo pica’yceia iiaeia
niinoapiaaoe oaioecaoeith pooo: opa?eoipi? oiaei aaaeooue naaa neeaaeiei
/eiii oa inoioii caeaaeaoue aiae ii/aoeiaeo oiia. C oaioecaoei?th oa
ippaaoeypiinoth pooo iia’ycaii iiiyooy aiiieeiii/ieo oi/ie oa
aiiieeiii/ieo pica’yceia. Aea/ai-ith ieoaiiy ipi noioanoecaoeith pooo a
ieiei eaaciiapiiaee/ieo pica’yceia ipenay/aii piaioe Aieio?ia oa
Aa?oioo?.

Oaeei /eiii, caaea/a i?i iaa?oiooaaiiy aa??aoe?eieo iaoiae?a a?aeooeaiiy
eaac?ia??iaee/ieo ?ica’yce?a eaa?aiaeaaeo nenoai caaaeueiiai aeaeyaeo ?
aeooaeueiith iaoeiaith i?iaeaiith.

Iaoa piaioe.

Anoaiiaeaiiy oiia inioaaiiy ocaaaeueiaieo oa eeane/ieo
eaac?ia??i-aee/ieo pica’yceia iaaaoiiiiieo eaapaiaeaaeo nenoai ca
aeiiiiiaith aapia-oeieiiai iaoiaeo.

Haoeiaa iiaecia pacoeueoaoia.

O Aiapoa iopeiaii pacoeueoao ipi inioaaiiy eeane/iiai eaaciiapiiaee/iiai
pica’yceo eaapaiaeaai? nenoaie caaaeueiiai aeaeyaeo aac a’ycae c
neeiaith ooieoei?th, ui ? iioeeith ia eiiiaeoiie iiiaeeii. Ocaaaeueiaii
i iineeaii pacoeueoaoe piaio Aa?aa?a (M. Berger), *aeaiy (L. Zhang), Aei
(J. Blot), Oo?i’? oa ni?aaaoi??a, o yeeo aeiaiaeeeiny inioaaiiy eeoa
ocaaaeueiaieo eaaciiapiiaee/ieo pica’yceia eaapaiaeaaeo nenoai.
Aeiiiaiaii pacoeueoaoe piaio I. Aa?aa?a (M. Berger) oa E. *aeaiy (L.
Zhang), o yeeo aoee ciaeaeaii aeinoaoii oiiae inioaaiiy eeane/ieo
eaaciiapiiaee/ieo pica’yceia aeayeeo aeiaaeueii iioeeeo eaapaiaeaaeo
nenoai.

O Aiapoa aeiaaaeaii oai?aio ipi inioaaiiy eeane/iiai eaaciiapiiaee/iiai
pica’yceo eaapaiaeaai? nenoaie c aieiiiiiith a’yccth o aeaeyaei piiaiiaa
iiiaiaeaea iaaeiaeaoii? piiaiiai? epeaeie.

O Aiapoa iaapoioiaaii aapiaoeieiee iiaeoiae aeey aiaeooeaiiy
eaaciiapiiaee/ieo pica’yceia eaapaiaeaaeo nenoai c aieiiiiieie a’ycyie o
aeaeyaei iiaieo piiaiiaeo iiiaiaeaeia.

Ipaeoe/ia cia/aiiy iaeapaeaieo pacoeueoaoia.

Aeenapoaoeiy ia? oaipaoe/iee oapaeoap. ?? pacoeueoaoe iiaeooue aooe
canoiniaaii o iiaeaeueoeo aeineiaeaeaiiyo c oaipi? aaaaoi/anoioieo
eieeaaiue, eeane/ii? iaoaiiee. ?acoeueoao iiaepicaeieo 2.9 aiaeepeaa?
iapniaeoeae picpiaee apaaei?ioieo iaoiaeia aiaeooeaiiy eaaciiapiiaee/ieo
pica’yceia eaapaiaeaaeo nenoai.

Ai?iaaoe?y ?iaioe.

Iniiaii pacoeueoaoe aeenapoaoei? aeiiiaiaeaeeny ia VI Iiaeiapiaeiie
iaoeiaie eiioapaioei? iiaii aeaaeaiiea Epaa/oea (15 – 17.05.1997), i.
Ee?a, i Iiaeiapiaeiie iaoeiaie eiioapaioei? «No/anii ipiaeaie
iaoaiaoeee» (22 – 26.06.1998) a *apiiaaoeueeiio aeapaeaaiiio
oiiaapneoaoi iiai? TH??y Oaaeueeiae/a (i. *apiiaoei), ia eiioapaioei?
iieiaeeo a/aieo Ee?anueeiai oi?aa?neoaoo ?iai? Oa?ana Oaa/aiea (1997
??e), ia nai?ia?? eaoaae?e aeeoa?aioe?aeueieo oa ?ioaa?aeueieo ??aiyiue
iaoai?ei-iaoaiaoe/iiai oaeoeueoaoo Ee?anueeiai oi?aa?neoaoo ?iai? Oa?ana
Oaa/aiea (1998 ??e), ia ia’?aeiaiiio nai?ia?? c aeeoa?aioe?aeueieo
??aiyiue ?inoeoooo iaoaiaoeee IAI Oe?a?ie oa Ee?anueeiai oi?aa?neoaoo
?iai? Oa?ana Oaa/aiea (1999 ??e), ia nai?ia?? eaoaae?e i?eeeaaeii?
iaoaiaoeee *a?i?aaoeueeiai aea?aeaaiiai oi?aa?neoaoo ?iai? TH??y
Oaaeueeiae/a (1999 ??e); aoee ipaaenoaaeaii ia iiaeiapiaeiie
eiioapaioei? c aeeoapaioeiaeueieo piaiyiue o Apii (Neiaa//eia,
“Conference on differential equations and their applications Equadiff–
9”, 25 – 29.08.1997).

Ioae?eaoe??.

Iniiai? ?acoeueoaoe aeena?oaoe?? iioae?eiaai? a 6-oe iaoeiaeo noaooyo,
nienie yeeo iaaaaeaii a e?ioe? aaoi?aoa?aoo. ?iaioa [1] i?enay/aia
i?eeeaaeai canoinoaaiiy oai???, ?ic?iaeaii? a [4]. ?iaioa [6] ?
?icoe?aiei aiaeiiiaiei aeeeaaeaiiyi noaoo? [4], aeiiiaiaiei aeayeeie
?acoeueoaoaie noaoo? [1]. A i?e aeiaaaeaia aaaeeeaa oai?aia ?nioaaiiy
eaac?ia??iaee/iiai ?ica’yceo eaa?aiaeaai? nenoaie (ui a?aeiia?aea?
iaaaaeai?e ieae/a oai?ai? 2.4.3 aeena?oaoe?eii? ?iaioe), a ye?e,
ii??aiyii c a?aeiia?aeieie oaa?aeaeaiiyie ?ia?o [1] ? [4], cia/ii
iineaaeai? aeiiae aei aeaaeeino? neeiai? ooieoe??. O ?iaioao [2-6],
iaienaieo aaoi?ii noi?nii c ?. I. Ia?antheii, iinoaiiaea caaea/ oa
aecia/aiiy iniiaieo iiaeoiaeia aei ?o pica’ycaiiy iaeaaeaoue ? I.
Ia?antheo. Oi/ii oipioethaaiiy iniiaieo pacoeueoaoia oa ?o nopiaa
iaapoiooaaiiy aeeiiaii caeiaoaa/ai naiinoieii.

Ia’?i oa no?oeoo?a aeena?oaoe??.

?iaioa neeaaea?oueny c anooio, /ioe?ueio ?icae?e?a, aeniiae?a oa
nienea aeei?enoaieo aeaea?ae. Ianya aeena?oaoe?? – 113 noi??iie.
Nienie aeei?enoaieo aeaea?ae i?noeoue 80 iaeiaioaaiue.

CI?NO ?IAIOE

A ?icae?e? 1 iaaaaeaii iniiai? icia/aiiy ca oaiith aeena?oaoe??.

A picaeiei 2 aea/a?oueny ieoaiiy ipi inioaaiiy iaeaea (eaaci-)
iapiiaee/-ieo pica’yceia iaoopaeueii? eaapaiaeaai? nenoaie

c iaeaea (eaaci-) iapiiaee/iith aiaeiinii t neeiaith ooieoei?th, yea ?
iioeeith ca ciiiiith x ia eiiiaeoiie iioeeie iiiaeeii. Oey caaea/a
caiaeeoueny aei ciaoiaeaeaiiy aenopaiaeae ooieoeiiiaeo

aea – aaeeiaeiaa iipia o Rn,. Aeey cpo/iinoi pica’ycaiiy
iiiiiicaoeieii? caaea/i ooieoeiiiae J0 ipiaeiaaeothoue ia ipinoip iaeaea
iapiiaee/ieo ooieoeie Aacieiae/a, ui iathoue ocaaaeueiaii (a naini
Niaie?aa) iaeaea iapiiaee/ii ca Aacieiae/ai iioiaeii. Oaea ipiaeiaaeaiiy
iicia/a?oueny /apac J. O iiaepicaeiei 2.1 c’yniao?oueny ieoaiiy ipi
iiiaeeio aecia/aiiy ooieoeiiiaea J. Caipiaaaeaeo?oueny iiapaoip
ipiaeooaaiiy ia iiiaeeio, oaeee ui ipe, i ? iaeaeeae/ith aei x oi/eith
iiiaeeie, yeui. Canoinoaaiiy oeueiai iia?aoi?a aeicaiey? ni?inoeoe
aeiaaaeaiiy oai?aie 2.2.1 ? ia aeei?enoiaoaaoe iie?iiie Aioia?a-Oae??a.
O iiaepicaeiei 2.2 aeiaiaeeoueny inioaaiiy ocaaaeueiaiiai iaeaea
iapiiaee/iiai pica’yceo nenoaie (2) ipe aeeiiaiii oiia iioeeinoi oa
cpinoaiiy neeiai? ooieoei? ia iaaei iioeei? iiiaeeie (oaipaia 2.2.1). O
iiaepicaeiei 2.3 iapaoiaeeii aei picaeyaeo eaaciiapiiaee/iiai aeiaaeeo,
oiaoi aea/a?ii ieoaiiy ipi inioaaiiy eaaciiapiiaee/ieo pica’yceia
nenoaie (2) c eaaciiapiiaee/iei ca t iioaioeiaeii V(t,x). Aeiaaaeaii
pyae oaapaeaeaiue, ui noinothoueny aeanoeainoae iioeeino? ooieoeiiiaeo
J ia eiai iaeanoi aecia/ai-iy. O iiaepicaeiei 2.4 ciaeaeaii oiiae, ipe
yeeo ocaaaeueiaiee eaaciiapiiaee/-iee pica’ycie nenoaie (2), inioaaiiy
yeiai noaapaeaeo?oueny oaipaiith 2.4.1 (aiaeiaii oaipaie 2.2.1 aeey
eaaciiapiiaee/iiai aeiaaeeo), aoaea caiaaoenue c eeane/iei. Aeey oeueiai
iieacaii, ui ooieoeiy ia oipi, yea aiaeiiaiaea? ocaaaeueiaiiio
pica’yceo nenoaie, ia? ani ocaaaeueiaii iioiaeii Niaie?aa aeeth/ii aei
iipyaeeo, aeinoaoiueiai aeey canoinoaaiiy oaipaie aeeaaeaiiy. A
pacoeueoaoi iopeiaii oaipaio 2.4.2, ui noaapaeaeo? inioaaiiy eeane/iiai
eaaciiapiiaee/iiai pica’yceo nenoaie (2) ca oiiae aeinoaoiuei?
aeaaeeinoi neeiai? ooieoei?. Aeaei iieacaii, ui aeiiae aei aeaaeeinoi
iioaioeiaeo iiaeia ineaaeoe. Noipioeth?ii iniiaiee pacoeueoao picaeieo:

Oaipaia 2.4.3. Haoae. Haoae inio? oaea eiiiaeoia iioeea iiiaeeia ,
iaaea yei? ? aeeoapaioeieiaiei iiiaiaeaeii (eeano C1), ui aeeiio?oueny
oiiaa iioeeinoi: inio? aeienia /enei , oaea ui

i oiiaa cpinoaiiy ia iaaei

aea n(x) ? iaeeie/iei aaeoipii ciaiioiuei? iipiaei aei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 a oi/oei
x.

Oiaei piaiyiiy
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ia? eeane/iee eaaciiapiiaee/iee pica’ycie x(t) c iaaipii /anoio ,
ipe/iio x(t) ipe t R.

O iiaepicaeiei 2.5 oipioeth?ii ianeiaeee, ui aeicaieythoue aeineoue
ipinoi iapaaipyoe oiiae inioaaiiy eaaciiapiiaee/ieo pica’yceia nenoai
aeaeyaeo

aea ? eaaciiapiiaee/ia ooieoeiy.

O iiaepicaeiei 2.6 iapaoiaeeii aei aiaeico ipeeeaaeia. Aeyaey?oueny, ui
ipiaeaie, yei picaeyaeaeeny a piaioao AE. Aei, I. Aa?aa?a, E. *aeaiy,
Oo?i’? oa ni?aaaoi??a, ipe iaaieo cia/aiiyo iapaiaopia ? /anoeiieie
aeiaaeeaie caaea/i, pica’ycaiith yei? ipenay/aiee picaeie 2. O
iiaepicaeiei 2.7, aeeipenoi-aoth/e pacoeueoaoe iiiia?ao?? A. A. Iaieiaa,
anoaiiaeaii oaipaio inioaaiiy eeane/iiai iaeaea iapiiaee/iiai pica’yceo
piaiyiiy pooo iayoieea ci ciii-ieie iapaiaopaie, ui ciaoiaeeoueny iiae
aei?th iaeaea iapiiaee/ii? ciaiioiuei? neee. O iiaepicaeiei 2.8
iaaaaeaii aeueoapiaoeaiee iaoiae aeiaaaeaiiy oaipaie 2.2.1, yeee
aaciinapaaeiuei ia canoiniao? aeanoeainoi Aaiaoa-Naena. O iiaepic-aeiei
2.9 ipeoiaeeii aei aeniiaeo, ui aeey ciaoiaeaeaiiy pica’yceo piaiyiiy
(1) iiaeia canoiniaoaaoe iaoiae oiiaiiai apaaei?ioa.

O picaeieao 3, 4 ca aeiiiiiaith aapiaoeieiiai iaoiaeo anoaiiaeaii
aeinoao-ii oiiae inioaaiiy eaaciiapiiaee/ieo pica’yceia eaapaiaeaaeo
nenoai c a’yccth, yea yaey? niaith piiaiia iiaeiiiaiaeae aaeeiaeiaiai
ipinoipo. Ipe oeueiio a picaeiei 3 aeyaeaii oiiae inioaaiiy
ocaaaeueiaieo pica’yceia oaeeo nenoai, a a picaeiei 4 aeacaii oiiae, ipe
yeeo cacia/aii pica’ycee caiaathoueny c eeane/-ieie.

Haoae i:MEn – aeaaeea iciiaope/ia aeeaaeaiiy k-aeiipiiai iiaiiai
ca’yciiai piiaiiaa iiiaiaeaeo M o aaeeiaeia ipinoip (En,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).
Aeiiiaeiiny ioioiaeithaaoe, aeeipenoiaoth/e i?e oeueiio iaeiaeiai
iicia/aiiy, M oa i(M), a oaeiae aaeoipe TM oa i* En.

?icaeyiaii ia M iaoopaeueio eaapaiaeaao nenoaio c eiiaoe/iith aiapai?th
oa eaaciiapiiaee/iith neeiaith ooieoei?th W( t,x), aea W:TmEnR –
aeaaeea aiaeiapaaeaiiy, Tm – m-aeiipiee oip c eooiaeie eiipaeeiaoaie
=(1, …,m) | mod 2 , =(1,…,m) – aaeoip c paoeiiiaeueii iacaeaaeieie
eiiiiiaioaie. Iicia/eii oaeo nenoaio /apac (M,T+W). Canoinoaaiiy
aapiaoeieiiai iaoiaeo aei caaea/i ipi eaaciiapiiaee/ii pica’ycee
eaapaiaeaai? nenoaie (M;T+W) iieyaa? o aiaeooeaiii ooieoei? x=u(t)
oaei?, ui u() paaeico? (eieaeueiee) iiiiioi ooieoeiiiaeo

a eeani aeai/i iaiapapaii aeeoapaioeieiaieo ooieoeie u:Tm M (ooo Du –
iioiaeia ca iaipyieii ). A picaeiei 3 anoaiiaeaii oiiae inioaaiiy
ooieoei? u*(), yea paaeico? iiiiioi ooieoeiiiaeo J(u) a eeani ooieoeie,
eiopi iaaoaathoue cia/aiue o aeayeie iaiaaeaiie iaeanoi QM i iaeaaeaoue
ipinoipo Inoaiiie ooaipththoue iioaapiaii c eaaaepaoii iipie ooieoei?
u(), yei iathoue ocaaaeueiaii a naini Niaie?aa iioiaeii Du() ca
iaipyieii . Ooieoeiy u*() caaeiaieueiy? piaiinoue

aea W'(,x) iicia/a? apaaei?io ooieoei? W(, . ):MR, h() – aeiaieueia
inoioii iaiaaeaia ooieoeiy c c aeanoeainoth h() Tu()M. O oeie neooaoei?
ipepiaeii iaceaaoe eaaciiapiiaee/io ooieoeith Aacieiae/a u*()
ocaaaeueiaiei pica’yceii eaapaiaeaai? nenoaie (M;T+W). O iiaepicaeiei
3.1 aaiaeeii iniiaii iiiyooy, ia yeeo aacothoueny iiaeaeueoi iiaoaeiae.
Aeey oiai, uia iienaoe iioeeinoue ooieoeiiiaea Aeeapa-Eaapaiaea ia
iiiaeeii ooieoeie, aeith/eo c oipa a iaiaaeaio iaeanoue iiiaiaeaea M,
aeeipenoiao?ii iiiyooy aiaeiapaaeaiiy ca’ycoaaiiy, a oaeiae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- iioeeinoi piiaiiai? iaopeee i no?iai?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- iioeeinoi neeiai? ooieoei?. Caipiaaaeaeo?ii, ye i a
picaeiei 2, iiapaoip ipiaeooaaiiy P, ui ? oioiaeiii ia iiiaeeii M, a
oi/oei x M cinoaaey? iaeaeeae/o aei x oi/eo iaae? .

Icia/aiiy 3.2.1. Iacaaii a?aeia?aaeaiiyi caycoaaiiy a iaeano? aeaaeea
a?aeia?aaeaiiy :[0,1]QQ M , yea ia? oae? aeanoeaino?:

1. aeey an?o aeeiiothoueny ??aiino?

2. ?niothoue noae? oae?, ui

?

aeey an?o (ooo e?aieith iicia/aia iio?aeia ca ci?iiith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).

*a?ac X iicia/aii eiaa??aioio iio?aeio aaeoi?iiai iiey X acaeiaae
iiiaiaeaea M M o iai?yieo .

A?aeia?aaeaiiy caycoaaiiy ia ??iaiiaiio iiiaiaeae? iaaeiaeaoii? e?eaeie
iiaeia caaeaoe o aeaeyae?:, aea aecia/a?oueny oiiaith. Oae iiaoaeiaaia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 aoaeaii iaceaaoe i?e?iaeiei (aeey iao?eee).

Icia/aiiy 3.2.2. ??iaiiao iao?eeo iacaaii — iioeeith a, yeui aeey
eiaeii? oi/ee ? aeia?eueieo aeeiio?oueny oiiaa

Icia/aiiy 3.2.3. Ooieoe?th iacaaii no?iai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 — iioeeith a, yeui ?nio? oaea, ui

Icia/aiiy 3.2.4. Aoaeaii eacaoe, ui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 caaeiaieueiy? oiiao iioeeino? a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, yeui aeey iio?aeii?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?aeia?aaeaiiy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?oueny ia??ai?noue :

Iieeaaoe, noi?ioeth?ii iniiaiee ?acoeueoao aeaiiai ?icae?eo – oaipaio
3.2.1 ipi inioaaiiy ocaaaeueiaieo eaaciiapiiaee/ieo pica’yceia nenoaie
(M,T+W).

Oai?aia 3.2.1. Iaoae aeey iiiaeeie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 iiaeia aeacaoe iaeanoue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 ?
a?aeia?aaeaiiy caycoaaiiy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 a
picscalex1000100090000038a0000000200150000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02e00180010e00000026060f001200ffffffff00000800
0000c0ffe0ff4001c0010b00000026060f000c004d617468547970650000500015000000
fb0280fe0000000000009001010000000002001054696d6573204e657720526f6d616e00
0081040000002d01000009000000320a4001380001000000510014010a00000026060f00
0a00ffffffff01000000000010000000fb021000070000000000bc02000000cc01020222
53797374656d00cc040000002d01010004000000f0010000030000000000000e4c00004d
4300006d4000009240000096420000004000, aeey yeiai ??iaiiaa iao?eea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 ?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 — iioeeith , a neeiaa ooieoe?y ? no?iai — iioeeith a.
I?eionoeii oaeiae, ui aeey aeayeiai iaaea caaeiaieueiy? oiiao iioeeino?
a ? aeeiio?oueny ia??ai?noue

Oiae? ?nio? ooieoe?y ? /enei oae?, ui

Oey ooieoe?y ? ocaaaeueiaiei ?icayceii nenoaie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.

Iaoae iiea iaeeie/ieo ciai?oi?o ii?iaeae aei. Aeey aeeiiaiiy (6)
aeineoue i?eioneaoe, ui

(7)

Ianooiiee ?acoeueoao ? iane?aeeii oai?aie 3.2.1.

Oai?aia 3.2.2. Iaoae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– i iaiee ??iai?a iiiaiaeae
iaaeiaeaoii? ??iaiiai? e?eaeie, — i?e?iaeia a?aeia?aaeaiiy caycoaaiiy.
I?eionoeii, ui iaaea caaeiaieueiy? aeey aeayeiai oiiao iioeeino? a, a
neeiaa ooieoe?y ? no?iai — iioeeith a ? ni?aaaeaeo?oueny ia??ai?noue
(7). Oiae? ?nio? ooieoe?y, ui ia? aeanoeaino?, iienai? a oaa?aeaeaii?
oai?aie 3.2.1.

A iiaepicaeiei 3.3 aea/athoueny aeanoeainoi iiapaoipa ipiaeooaaiiy P ,
ciepaia aiaeooeothoueny aeinoaoii oiiae aeey oiai, uia iaaea a?aee?eoi?
i?aeiiiaeeie iiiaiaeaeo M caaeiaieueiyea oiiao iioeeinoi. A iiaepicaeiei
3.4 aeiaiaeeoueny aeiiiiiaeia oaapaeaeaiiy ipi aeanoeainoi
iiiiiicaoeieii? iineiaeia-iinoi. A iiaepicaeiei 3.5 iinoeoueny
aeiaaaeaiiy oaipaie 3.2.1. O iiaepicaeiei 3.6 iopeio?oueny pyae
pacoeueoaoia, ui aeicaieythoue nipinoeoe iapaaipeo oiia oaipaie 3.2.1,
iaaiaeyoueny aeinoaoii oiiae
picscalex100010009000003850000000200100000000000050000000902000000000400
000002010100050000000102ffffff00040000002e011800050000003102010000000500
00000b0200000000050000000c02a00180010e00000026060f001200ffffffff00000800
0000c0ff20004001c0010b00000026060f000c004d617468547970650000500010000000
fb0280fe0000000000009001010000020002001053796d626f6c0002040000002d010000
09000000320a00014c00010000006300d3000a00000026060f000a00ffffffff01000000
000010000000fb021000070000000000bc02000000cc0102022253797374656d00cc0400
00002d01010004000000f0010000030000000000000000000000000280fe000000000000
900100001000- iioeeinoi piiaiiai? iaopeee i no?iai?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- iioeeino? neeiai? ooieoei?. O picaeiei 4 ciaeaeaii oiiae,
ipe aeeiiaiii yeeo u*() ? aeaaeeith ooieoei?th, a ioaea, u*( t) ?
eeane/iei pica’yceii. Oaoiiea aeineiaeaeaiiy niepa?oueny ia
caipiiiiiaaiee o iiaepicaeiei 4.1 aiapao ocaaaeueiaiiai eiaapiaioiiai
aeeoapaioeithaaiiy acaeiaae aeiipieo aiaeiapaaeaiue c oipa Tm a
iiiaiaeae M. O iiaepicaeiei 4.2 iinoeoueny iniiaiee pacoeueoao ipi
aeaaeeinoue ooieoei?, ui caaeiaieueiy? piaiinoue (5). Aii aaco?oueny ia
oaapaeaeaiiyo iiaepicaeieo 4.3, yei noinothoueny inoioii? iaiaaeaiinoi
oa caiaeiinoi iineiaeiaiinoi aaeoipieo iieia acaeiaae u*(), ui
caaeiaieueiythoue iaaii aapiaoeieii piaiinoi. Iniiaiee i?aenoieiaee
pacoeueoao picaeieia 3 i 4 iiaeia iiaeaoe o ianooiiiio aeaeyaei.

Oaipaia 4.2.2. Haoae M – iiaiee k-aeiipiee piiaiia iiiaiaeae,
aeeaaeaiee o aaeeiaeia ipinoip En, – eiai iaiaaeaia iaeiica’ycia
iiaeiiiaeeia, aeeoai-iipoia iaeanoi a Rk, iaaea iiiaeeie ? aeaaeeith
a?ia?iiaa?oiath a M . *a?ac n(x) TxM, x, iicia/eii iiea iaeeie/ieo
ciaiioiio iipiaeae

aei .

Ipeionoeii, ui aeeiiothoueny ianooiii oiiae:

1. Iaaea caaeiaieueiy? ipe aeayeiio >0 oiiao iioeeinoi a +, oiaoi
inio? 0>0, oaea ui aeey aoaeue-yei? oi/ee x, aoaeue-yeiai iaeeie/iiai
aaeoipa (x) Tx

2. Oaicip ca’yciinoi Eaai-*iaioa R caaeiaieueiy? iapiaiinoue

aeey aeiaieueieo ,TxM, x.

3. Aeey anio x , aeey anio Tm

4. Inio? 2 >0 oaea, ui

aeey anio Tm, x, Tx..

Oiaei eaapaiaeaaa nenoaia
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ia? eeane/iee eaac?ia??iaee/iee pica’ycie x(t)=u(t), aea u()C(Tm;En) ,
ipe/iio x(t) ipe tR.

*a?ac X ooo iicia/aii eiaa??aioio iio?aeio aaeoi?iiai iiey X
acaeiaae iiiaiaeaea M o iai?yieo .

O iiaepicaeiei 4.4 iaaaaeaii ipeeeaae canoinoaaiiy oei?? oaipaie aei
nenoaie a Rk c aieiiiiiith a’yccth o aeaeyae? iaeiiii?iaeieiiiai
a?ia?-aiei?aea.

AENIIAEE

A aeena?oaoe?ei?e ?iaio? aeine?aeaeoaaeiny ieoaiiy i?i ?nioaaiiy
eaac?ia??iaee/iiai ?aaeeio eieeaaiue o iae?i?ei?e eaa?aiaeaa?e nenoai?.
I?e aeeiiaii? iaaieo oiia iioeeino? (eieaeueia iioee?noue neeiai?
ooieoe??) aoei aeiaaaeaii ?nioaaiiy eaac?ia??iaee/iiai ?ica’yceo
cacia/aii? nenoaie. Aiaeoiae aiae iaoiaeia oaipi? caopaiue aeicaiey?
aeiaanoe inioaaiiy eaaciiapiiaee/ieo pica’yceia inoioii iaeiiieieo
nenoai aac canoinoaaiiy iiiyooy iipiaeaeoth/iai pica’yceo. C
aeiiiiiaith aa??aoe?eiiai iaoiaeo ia eeoa ciaeaeaii ocaaaeueiaiee
?ica’ycie, aea e anoaiiaeaii eiai aeaaee?noue. ?acoeueoaoe ?iaioe iiaeia
aeei?enoiaoaaoe aeey iiaeaeueoeo aeine?aeaeaiue a oai??? iae?i?eieo
aaaaoi/anoioieo eieeaaiue, eeane/i?e iaoai?oe?.

Aaoi? aeneiaeth? aeeaieo iiaeyeo nai?io iaoeiaiio ea??aieeia? ?. I.
Ia?antheo ca iino?eio oaaao oa i?aeo?eieo a ?iaio?.

?IAIOE AAOI?A CA OAIITH AeENA?OAOe??

1. Caoa?i N. O. Aeineaeaeaiiy eaacia?iaee/ieo ?icaycea eaa?aiaeaaeo
nenoai//Aniee Eeanueeiai oiaa?neoaoo. Na?. iaoaiaoeea, iaoai?ea. — 1998.
— aei. 1. — n. 12 — 15.

2. Caoa?i N. O. , Ia?anthe . I. Aeiooai eieeaaiiy iayoieea oa o
aeno?aiaeuei aeanoeaino// Aeiiiaae IAI Oe?aie . — 1998. — ? 6. — n. 19
— 21.

3. Caoa?i N. O. , Ia?anthe . I. Ocaaaeueiai oa eeane/i iaeaea
ia??iaee/i? ?icaycee eaa?aiaeaaeo nenoai, iioeeeo ia
eiiiaeo//Oe?ainueeee iaoaiaoe/iee aeo?iae. — 1998. — o. 50. — ? 12. — n.
1601 — 1608.

4. Caoa?i N. O. , Ia?anthe . I. Ocaaaeueiai eaacia?iaee/i ?icaycee
eaa?aiaeaaeo nenoai ia ?iaiiaeo iiiaiaeaeao iaaeiaeaoii? e?eaeie //
Aniee Eeanueeiai oiaa?neoaoo. Na?. iaoaiaoeea, iaoai?ea. — 1999. — aei.
3 — n. 15 — 20.

5. Caoa?i N. O., Ia?anthe . I. I?i aeaaeenoue ocaaaeueiaieo
eaacia?iaee/-ieo ?icaycea eaa?aiaeaaeo nenoai ia ?iaiiaeo iiiaiaeaeao
iaaeiaeaoii? e?eaeie // Iaeiei eieeaaiiy. – 1999. — o. 2, ? 2.—n.180 —
193.

6. Zakharin S. F., Parasyuk I. O. Generalized and classical almost
periodic solutions of Lagrangian systems // Funkcialaj Ekvacioj. –
1999. – 42. – P. 235 – 250.

AIIOAOe??

Caoa??i N. O. Aa??aoe?eiee iaoiae aeine?aeaeaiiy eaac?ia??iaee/ieo
?ica’yce?a eaa?aiaeaaeo nenoai. — ?oeiien.

Aeena?oaoe?y ia caeiaoooy iaoeiaiai nooiaiy eaiaeeaeaoa
o?ceei-iaoaiaoe/ieo iaoe ca niaoe?aeuei?noth 01.01.02 –
aeeoa?aioe?aeuei? ??aiyiiy.- Ee?anueeee iaoe?iiaeueiee oi?aa?neoao ?iai?
Oa?ana Oaa/aiea, Ee?a, 1999.

Aeena?oaoe?th i?enay/aii aea/aiith ieoaiiy i?i ?nioaaiiy
eaac?ia??iaee/ieo ?ica’yce?a eaa?aiaeaaeo nenoai. Aeiaaaeaii ?nioaaiiy
oaeeo ?ica’yce?a a nenoaiao, eaa?aiae?ai yeeo ? eieaeueii iioeeei uiaei
i?inoi?iai? ci?iii?. Anoaiiaeththoueny aeinoaoi? oiiae ?nioaaiiy
eaac?-ia??iaee/ieo ?ica’yce?a iaoo?aeueieo eaa?aiaeaaeo nenoai ye aac
a’ycae, oae ? c aieiiiiieie a’ycyie o aeaeyae? ??iaiiaeo iiiaiaeae?a.
Iaa?oioiao?oueny aa??aoe?eiee iaoiae a?aeooeaiiy cacia/aieo ?ica’yce?a.

Eeth/ia? neiaa: eaac?ia??iaee/i? ?ica’ycee, iaeaea ia??iaee/i?
?ica’ycee, eaa?aiaeaa? nenoaie, aa??aoe?eiee iaoiae, ??iaiia?
iiiaiaeaee, aaaaoi/anoioi? eieeaaiiy.

Caoa?ei N. O. Aa?eaoeeiiiue iaoiae enneaaeiaaiey eaace-ia?eiaee/aneeo
?aoaiee eaa?aiaeaauo nenoai. — ?oeiienue.

Aeenna?oaoeey ia nieneaiea o/aiie noaiaie eaiaeeaeaoa
oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe 01.01.02 –
aeeooa?aioeeaeueiua o?aaiaiey.- Eeaaneee iaoeeiiaeueiue oieaa?neoao
eiaie Oa?ana Oaa/aiei, Eeaa, 1999.

Aeenna?oaoeey iinayuaia enneaaeiaaieth oneiaee nouanoaiaaiey
eaaceia?eiaee/aneeo ?aoaiee iaoo?aeueiuo eaa?aiaeaauo nenoai.
Aeieacuaaaony nouanoaiaaiea ?aoaiee oeacaiiiai oeia aeey nenoai,
oaeiaeaoai?ythueo ii?aaeae?iiui oneiaeyi auioeeinoe. A ioee/ea io ?aaio
ae?oaeo aaoi?ia, oaea?ony onoaiiaeoue nouanoaiaaiea eaaceia?eiaee/aneeo
?aoaiee i?e oneiaee eieaeueiie, a ia aeiaaeueiie auioeeinoe eaa?aiaeeaia
ioiineoaeueii i?ino?ainoaaiiie ia?aiaiiie. Oaeie yooaeo aeinoeaaaony
aeaaiaea?y i?eiaiaieth iia?aoi?a i?iaeoe?iaaiey ia a?aieoeo auioeeiai
iiiaeanoaa. Oai?aiu nouanoaiaaiey eaaceia?eiaee/aneeo ?aoaiee
aeieacuaathony eae aeey eaa?aiaeaauo nenoai aac naycae, oae e aeey
nenoai ni naycyie a aeaea ?eiaiiauo iiiaiia?acee. Aeey aeieacaoaeuenoaa
yoeo oai?ai eniieuecoaony aa?eaoeeiiiue iiaeoiae. Iooiae io iaoiaeia
oai?ee aiciouaiee iicaieyao onoaiaaeeaaoue oaeo nouanoaiaaiey
eaaceia?eiaee/aneeo ?aoaiee, ia i?eaaaay e iiiyoeth ii?iaeaeathuaai
?aoaiey. Ia?yaeo n auoaiienaiiuie ?acoeueoaoaie, iaeaeaiu aeinoaoi/iua
oneiaey nouanoaiaaiey iaiau?iiuo ii/oe ia?eiaee/aneeo ii Aaceeiae/o
?aoaiee eaa?aiaeaauo nenoai. Oaeaea aeieacaii nouanoaiaaiea
eeanne/aneiai ii/oe ia?eiaee/aneiai ?aoaiey o?aaiaiey aeaeaeaiey
iayoieea iiae aeeyieai aiaoiae ii/oe ia?eiaee/aneie neeu. Yeno?aiaeueiua
naienoaa eaaceia?eiaee/aneeo e ii/oe ia?eiaee/aneeo ?aoaiee,
?anniao?eaaaiuo a ?aaioa, aeatho aiciiaeiinoue i?eiaiyoue a?aaeeaioiua
iaoiaeu aeey eo iouneaiey.

Eeth/aaua neiaa: eaaceia?eiaee/aneea ?aoaiey, ii/oe ia?eiaee/aneea
?aoaiey, eaa?aiaeaau nenoaiu, aa?eaoeeiiiue iaoiae, ?eiaiiau
iiiaiia?acey, iiiai/anoioiua eieaaaiey.

Zakharin S. F. Variational method for investigation of Lagrangian
systems’ quasiperiodic solutions. — Manuscript.

Thesis of the dissertation for obtaining of the degree of candidate of
sciences in physics and mathematics, speciality 01.01.02 – differential
equations. Kyiv National Shevchenko University, Kyiv, 1999.

Necessary conditions for Lagrangian systems to have quasiperiodic
solutions are studied. Existence of the above mentioned kind of
solutions is proved under the assumption of local convexity of
Lagrangian in space variable. Existence theorems are proved for
Lagrangian systems in Euclidean space, as well as for the systems on
Riemannian manifolds. Variational method for finding the quasiperiodic
solutions is substantiated.

Key words: quasiperiodic solutions, almost periodic solutions,
Lagrangian systems, variational method, Riemannian manifolds,
multifrequency oscillations.

Похожие записи