IAOe?IIAEUeIA AEAAeAI?ss IAOE OE?A?IE
?INOEOOO IAOAIAOEEE
IEEEITHE Oaoyia Ieoaee?aia
OAeE 517.91: 532.2
CAI?IAAAeAEAIIss
A?A?EAeIEO ?IOAA?AEUeIEO
IA?AOAI?AIUe
(OO?’?, EAAEAIAe?A, AANNAEss)
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.
?iaioo aeeiiaii o a?aeae?e? iaoaiaoe/ii? o?ceee ? oai??? iae?i?eieo
eieeaaiue ?inoeoooo iaoaiaoeee IAI Oe?a?ie.
Iaoeiaee ea??aiee – aeieoi? o?ceei-iaoaiaoe/ieo iaoe,
i?ioani? Aa?acianueeee A?iieueae Aiaoie?eiae/
?inoeooo iaoaiaoeee IAI Oe?a?ie,
caa?aeoaa/ eaai?aoi???
Io?oe?ei? iiaiaioe: aeieoi? o?ceei-iaoaiaoe/ieo iaoe,
i?ioani? Naeacia ?ai? Oeiio?eiae/
caa?aeoaa/ a?aeae?eo a?ae?iaeeiai?ee oaeeueiaeo i?ioean?a
?inoeoooo a?ae?iiaoai?ee IAI Oe?a?ie,
eaiaeeaeao o?ceei-iaoaiaoe/ieo iaoe
N?aeaiei Ieeiea ?iiaiiae/
noa?oee iaoeiaee ni?a?ia?oiee
a?aeae?eo iae?i?eiiai aiae?co
?inoeoooo iaoaiaoeee IAI Oe?a?ie
I?ia?aeia onoaiiaa: Iaoe?iiaeueiee oi?aa?neoao ?iai? Oa?ana Oaa/aiea ,
eaoaae?a iaoaiaoe/ii? o?ceee.
I?i?noa?noai ina?oe Oe?a?ie, Ee?a.
Caoeno a?aeaoaeaoueny “26 “ n?/iy 1999 ?. i 15 aiaeei? ia
can?aeaii?
niaoe?ae?ciaaii? a/aii? ?aaee Ae 26.206.02 i?e ?inoeooo? iaoaiaoeee
IAI Oe?a?ie ca aae?anith: 252601, i.Ee?a-4, aoe.Oa?auaie?anueea, 3
C aeena?oaoe??th iiaeia iciaeiieoenue o a?ae?ioaoe? ?inoeoooo
iaoaiaoeee
IAI Oe?a?ie (aoe. Oa?auaie?anueea, 3).
Aaoi?aoa?ao ?ic?neaii “ 24 “ a?oaeiy 1998 ?.
A/aiee nae?aoa?
niaoe?ae?ciaaii? a/aii? ?aaee Eo/ea A.TH.
Caaaeueia oa?aeoa?enoeea ?iaioe.
Aeooaeueiinoue oaie. Aei iaeaieueo cia/ieo oaoii/ieo aeinyaiaiue
aeaaaeoeyoiai noieiooy aiaeiinyoueny ?icaeoie yaea?ieo aeaea?ae aia?ai?
oa inai?iiy ia aaci ?aeaoii? oaoiiee aenieeo oaeaeeinoae iieueioo. A
iaio aeiaaeeao i?eoiaeeoueny iaoe ni?aao c iaaecae/aeii aenieeie
oaiia?aoo?aie, a oaeiae c yaeuaie aa?iaeeiaii/iiai iaa?iao. E?ii aenieeo
?iaiia oaiia?aoo?e a ?iai/eo oiiaao /anoi aeieeathoue oaeiae cia/ii
a?aaei?ioe oaiia?aoo?e. Ianeiaeeii oeueiai ? oaiia?aoo?ii iai?oaeaiiy,
yei ? iaeiei c aaaeeeaeo oaeoi?ia, ui aecia/a? aeiaaiai/iinoue
iaoa?iaeo. Inue /iio ieoaiiy aecia/aiiy oaiia?aoo?ieo iieia i aeeeeeaieo
ieie oaiia?aoo?ieo iai?oaeaiue yaeythoue niaith inoioiee oai?aoe/iee,
i?aeoe/iee oa aeiiiii/iee iioa?an. Ineieueee aei ?iaiyiue (nenoai
?iaiyiue) noaoeiiia?ii? e ianoaoeiiia?ii? oaieii?iaiaeiinoi oa
i?oaeiinoi i?eaiaeeoueny aeineoue oe?ieee eean caaea/ iaoaiaoe/ii?
oiceee, oi ie iiaeiii iaoe a nai?io a?naiaei aeinoaoiuei aoaeoeaiee
aia?ao iiaoaeiae oi/ieo aiaeioe/ieo ?ica’yceia (oi/a ae eiiieieo
caaea/).
I?iaiaeia iinoea na?aae aoaeoeaieo iaoiaeia ?ica’ycaiiy caaea/
iaoaiaoe/ii? oiceee caeia? iaoiae iioaa?aeueieo ia?aoai?aiue. Aeey
?ica’ycaiiy eiiieieo caaea/ iaoaiaoe/ii? oiceee c iaia?a?aieie
eiaoioei?ioaie oe?iei canoiniaothoueny eeane/ii iioaa?aeueii
ia?aoai?aiiy Oo?’?, Eaieana, Oo?’?-Aannaey, Aaaa?a, Iaeeiia, Eaaeaiae?a,
Aieueaa?oa, Eaioi?iae/a-E?a?ae?aa, Iaeea?a-Oiea oa ii. O ca’yceo c
oe?ieei ai?iaaaeaeaiiyi eiiiiceoieo iaoa?iaeia aeieeea aino?a iio?aaa a
iiaoaeiai oaeeo iioaa?aeueieo ia?aoai?aiue, yei a aeaaaee iiaeeeainoue
aeaaa?a?caoei? aeeoa?aioeiaeueieo ?iaiyiue c eoneiai-iaia?a?aieie
eiaoioei?ioaie.
Oeacaii ianoaaeie aecia/eee iai?yiie aeena?oaoeieii? ?iaioe, yea e
i?enay/aia iiaoaeiai aia?eaeieo iioaa?aeueieo ia?aoai?aiue, ii?iaeaeaieo
ia iiey?iie ini c aeaiia oi/eaie ni?yaeaiiy anaiiaeeeaei niieo/aiiyi
aeeoa?aioeiaeueieo iia?aoi?ia Oo?’?, Oo?’?, Eaaeaiae?a (?icaeie 1);
Eaaeaiae?a, Eaaeaiae?a, Aannaey (?icaeie 2) oa Oo?’?, Eaaeaiae?a,
Eaaeaiae?a (?icaeie 3).
Ca’ycie ?iaioe c iaoeiaeie i?ia?aiaie, ieaiaie, oaiaie. ?iaioa
aeeiioaaeanue a ieaii oaie “sseinii aeineiaeaeaiiy oa eiino?oeoeaii
iaoiaee ?ica’ycaiiy iaeeane/ieo a?aie/ieo caaea/ aeey iaeiiieieo
aaiethoeieieo ?iaiyiue” aiaeaeieo iaoaiaoe/ii? oiceee i oai?i?
iaeiiieieo eieeaaiue Iinoeoooo iaoaiaoeee IAI Oe?a?ie.
Iaoa i caaea/i aeineiaeaeaiiy. Iaoith aeaii? ?iaioe ?:
a) cai?iaaaeaeaiiy ia iiey?iie ini c aeaiia oi/eaie ni?yaeaiiy
aia?eaeieo iioaa?aeueieo ia?aoai?aiue (Oo?’?, Oo?’?, Eaaeaiae?a),
(Aannaey, Eaaeaiae?a, Eaaeaiae?a) oa (Oo?’?, Eaaeaiae?a, Eaaeaiae?a);
a) canoinoaaiiy iiaoaeiaaieo aia?eaeieo iioaa?aeueieo ia?aoai?aiue ca
?ic?iaeaiith eiai/iith noaiith aei iiaoaeiae oi/ieo aiaeioe/ieo
?ica’yceia aiaeiiaiaeieo neiaoey?ieo caaea/ iaoaiaoe/ii? oiceee
iaiaeii?iaeieo no?oeoo? oa aei caaea/ ia/eneaiiy iieiia?aiao?e/ieo
iaaeanieo iioaa?aeia.
Iaoiaeii iiaoaeiae aia?eaeieo iioaa?aeueieo ia?aoai?aiue ? iaoiae
aeaeueoa-iiaeiaieo iineiaeiaiinoae (yae?i Aei?ioea, yae?i Eioi). O
i?ioeani aeineiaeaeaiiy aeei?enoaii aeaiaioe oai?i? e?aeiaeo caaea/ aeey
cae/aeieo aeeoa?aioeiaeueieo ?iaiyiue oa nenoai ?iaiyiue, aeaiaioe
oai?i? ooieoeie eiiieaenii? ciiiii?, iioaa?aeueia ia?aoai?aiiy Eaieana
(iia?aoeieiee iaoiae) oa iniiaii iieiaeaiiy oai?i? ocaaaeueiaieo
ooieoeie.
Iaoeiaa iiaecia iaea?aeaieo ?acoeueoaoia:
– ia iiey?iie ini c aeaiia oi/eaie ni?yaeaiiy iiaoaeiaaii iaoiaeii
aeaeueoa-iiaeiaieo iineiaeiaiinoae, a yeinoi yeeo aenooia? yae?i Eioi,
aia?eaeii iioaa?aeueii ia?aoai?aiiy Oo?’?- Oo?’?- Eaaeaiae?a, Aaieaey-
Eaaeaiae?a 2-ai ?iaeo- Eaaeaiae?a, Eaaeaiae?a- Aaieaey 2-ai ?iaeo-
Eaaeaiae?a, Oo?’?- Eaaeaiae?a 2-ai ?iaeo- Eaaeaiae?a oa Eaaeaiae?a-
Oo?’?- Eaaeaiae?a;
– ia iiey?iie ini c aeaiia oi/eaie ni?yaeaiiy iaoiaeii
aeaeueoa-iiaeiaieo iineiaeiaiinoae, a ?iei yeeo neoaeeoue yae?i
Aei?ioea, cai?iaaaeaeaii aia?eaeii iioaa?aeueii ia?aoai?aiiy Oo?’?-
Eaaeaiae?a- Oo?’?, Eaaeaiae?a- Oo?’?- Oo?’?, Eaaeaiae?a- Eaaeaiae?a 2-ai
?iaeo- Aaaa?a oa Eaaeaiae?a- Eaaeaiae?a 2-ai ?iaeo- Oo?’?;
– iaea?aeaii oai?aie i?i iioaa?aeueia cia?aaeaiiy eoneiai-iaia?a?aieo,
aaniethoii noiiaieo ooieoeie iaiaaeaii? aa?iaoei? /a?ac yae?a
iiaoaeiaaieo aia?eaeieo iioaa?aeueieo ia?aoai?aiue;
– iaea?aeaii iniiaii oioiaeiinoi iioaa?aeueiiai ia?aoai?aiiy aia?eaeieo
aeeoa?aioeiaeueieo iia?aoi?ia, yei aeathoue iiaeeeainoue iiaoaeoaaoe
aeaaa?o aia?eaeieo aeeoa?aioeiaeueieo iia?aoi?ia;
– ca aiaeiiith eiai/iith noaiith cai?iaaaeaeaii aia?eaeii iioaa?aeueii
ia?aoai?aiiy canoiniaaii aei ia/eneaiiy iieiia?aiao?e/ieo iaaeanieo
iioaa?aeia, iiaoaeiae oi/ieo aiaeioe/ieo ?ica’yceia aeai?eoii/iiai
oa?aeoa?o oeiiaeo e?aeiaeo caaea/ noaoeee, eaacinoaoeee, aeeiaiiee oa
e?o/aiiy eoneiai-iaeii?iaeieo oie.
I?aeoe/ia oeiiiinoue. Cai?iaaaeaeaii a aeena?oaoei? aia?eaeii
iioaa?aeueii ia?aoai?aiiy iiaeooue aooe canoiniaaii aeey iiaoaeiae
oi/ieo aiaeioe/ieo ?ica’yceia aeai?eoii/iiai oa?aeoa?o aeinoaoiuei
oe?ieiai eeano caaea/ oaieii?iaiaeiinoi, i?oaeiinoi, aiae?iiaoaiiee,
aeaeo?inoaoeee, caaea/ oai?i? eieeaaiue, caaea/ e?o/aiiy iaiaeii?iaeieo
ia’?eoia oa ii. c iaoith aea/aiiy aieeao noaiaii iaiaeii?iaeiinoi.
Iniaenoee aianie caeiaoaa/a. O ?iaioao [11,13] Aa?acianueeiio A.A.
iaeaaeeoue iinoaiiaea caaea/ oa iaaiai?aiiy ?acoeueoaoia. Ani iioi
iaaaaeaii a aeena?oaoei? ?acoeueoaoe aeineiaeaeaiue iaeaaeaoue aaoi?iai.
Ai?iaaoeiy ?acoeueoaoia aeena?oaoei?. Iaoa?iaee aeena?oaoeieii? ?iaioe
aeiiiaiaeaeenue ia VIII ?anioaeieainueeie eiioa?aioei? “Iaeeiaeiua
caaea/e iaoaiaoe/aneie oeceee e caaea/e ni naiaiaeiie a?aieoeae” (i.
Aeiiaoeuee, 1991), ia o?aoie ananithciie eiioa?aioei? “Iiaua iiaeoiaeu e
?aoaieth aeeooa?aioeeaeueiuo o?aaiaiee” (i. Ae?iaiae/, 1991), ia
iiaeia?iaeiie iaoeiaie eiioa?aioei? “Aeeooa?aioeeaeueiua e eioaa?aeueiua
o?aaiaiey. Iaoaiaoe/aneay oeceea e niaoeeaeueiua ooieoeee” (i. Naia?a,
1992), ia iiaeia?iaeiie eiioa?aioei?, i?enay/aiie iai’yoi aeaaeaiiea
I.I.E?aa/oea (i. Ee?a, 1992), iiae /an ?iaioe oeiee-naiiia?o “Iaeeiaeiua
e?aaaua caaea/e iaoaiaoe/aneie oeceee e eo i?eeiaeaiey” (i. Oa?iiiieue,
1994; i. *a?iiaoei, 1995), ia iaoeiaeo naiiia?ao eaoaae?e
aeeoa?aioeiaeueieo ?iaiyiue oa eaoaae?e i?eeeaaeii? iaoaiaoeee i
iaoaiiee *a?iiaaoeueeiai oiiaa?neoaoo, aiaeaeieo iaeiiieieo eieeaaiue i
iaoaiaoe/ii? oiceee Iinoeoooo iaoaiaoeee IAI Oe?a?ie, eaoaae?e
iaoaiaoe/ii? oiceee oa ia/enethaaeueii? iaoaiaoeee Oa?eianueeiai
oiiaa?neoaoo; ia iinueeiio naiiia?i ,, Aeeoa?aioeiaeueii ?iaiyiiy oa ?o
canoinoaaiiy ” ( i. Ee?a, Iaoeiiiaeueiee Oaoii/iee Oiiaa?neoao Oe?a?ie (
EII ), 1996 ), ia iaoeiaiio naiiia?i ,, No/anii i?iaeaie iaoaiaoeee ” (
i. *a?iiaoei, *a?iiaaoeueeee aea?aeaaiee oiiaa?neoao, 1996).
Ioaeieaoei?. Iniiaii ?acoeueoaoe iioaeieiaaii o iaoeiaeo i?aoeyo
[1-13], cienie yeeo iiaeaii a eiioei aaoi?aoa?aoo.
No?oeoo?a oa ianya aeena?oaoei? . Aeena?oaoeiy neeaaea?oueny ic anooio,
o?ueio ?icaeieia, aeniiaeia oa nieneo eioa?aoo?e, ui iaei/o? 58
iaeiaioaaiue. Caaaeueiee ianya ?iaioe 109 noi?iiie.
INIIAIEE CIINO ?IAIOE
O anooii aei aeena?oaoei? iaa?oioiaaii aeooaeueiinoue oaie, c?iaeaii
ei?ioeee iaeyae eioa?aoo?e ca oaiaoeeith aeena?oaoei?, c?iaeaii iien
iaea?aeaieo ?acoeueoaoia ca ?icaeieaie.
c aeaiia oi/eaie ni?yaeaiiy aia?eaeii iioaa?aeueii ia?aoai?aiiy
Oo?’?-Oo?’?-Eaaeaiae?a, a iaoiaeii aeaeueoa-iiaeiaieo iineiaeiaiinoae, a
?iei yeeo aenooia? yae?i Aei?ioea, iiaoaeiaaii aia?eaeii iioaa?aeueii
ia?aoai?aiiy Oo?’?-Eaaeaiae?a 2-ai ?iaeo-Oo?’? oa Eaaeaiae?a-Oo?’?-Oo?’?
(§3 i §4). A onio aeiaaeeao a oi/eao noeeoaaiiy iioa?aaeia i?eeiyoi
oiiae ni?yaeaiiy
; j, k = 1, 2 (1)
O eiaeiiio ia?aa?aoi noi?ioeueiaaii oai?aie i?i iioaa?aeueia
cia?aaeaiiy eoneiai-iaia?a?aieo, aaniethoii-noiiaieo ( c oi/ii
aecia/aiith aaaiaith ooieoei?th ) ooieoeie iaiaaeaii? aa?iaoei? /a?ac
yae?a cai?iaaaeaeaieo aia?eaeieo iioaa?aeueieo iia?aoi?ia oa oai?aie i?i
iniiaio oioiaeiinoue iioaa?aeueiiai ia?aoai?aiiy aia?eaeiiai
aeeoa?aioeiaeueiiai iia?aoi?a.
Ineieueee ciino ae?oaiai, o?aoueiai oa /aoaa?oiai ia?aa?aoia
iaeaioe/iee, oi iaaaaeaii ?acoeueoaoe o?aoueiai ia?aa?aoa.
?icaeyiaii aia?eaeiee aeeoa?aioeiaeueiee iia?aoi?
. (2)
– aeeoa?aioeiaeueiee iia?aoi? Eaaeaiae?a aeey i?e?aeiaieo ooieoeie
?ica’yceii neiaoey?ii? niaeo?aeueii? caaea/i Ooo?ia-Eioaieey
(3)
(4)
? ooieoe??
(5)
.
O ?iaiinoyo (5) i?eeiyoi iicia/aiiy:
(6)
Aecia/eii aaee/eie oa ooieoei? :
, (7)
.
aeicaiey? iaienaoe iioaa?aeueia cia?aaeaiiy ii?e Aei?aea
(8)
aia?eaeia iioaa?aeueia ia?aoai?aiiy Eaaeaiae?a 1-ai ?iaeo-Oo?’?-Oo?’?
:
, (9)
. (10)
Ni?aaaeaeothoueny oaa?aeaeaiiy.
Oai?aia 3.1. : sseui ooieoeiy
ni?aaaaeeeaa iioaa?aeueia cia?aaeaiiy
. (11)
Aeiaaaeaiiy noai?aie iaaaaeaii a ?iaioi [10].
:
. (12)
oa aaaiai? ooieoei? s(r).
Ae?oaee ?icaeie i?enay/aii iiaoaeiai : 1) iaoiaeii aeaeueoa-iiaeiaieo
iineiaeiaiinoae, a ?iei yeeo aenooia? yae?i Eioi, aia?eaeieo
iioaa?aeueieo ia?aoai?aiue Aaieaey-Eaaeaiae?a 2-ai ?iaeo-Eaaeaiae?a oa
Eaaeaiae?a-Aaieaey 2-ai ?iaeo- Eaaeaiae?a; 2) iaoiaeii
aeaeueoa-iiaeiaieo iineiaeiaiinoae, a ?iei yeeo aenooia? yae?i Aei?ioea,
aia?eaeieo iioaa?aeueieo ia?aoai?aiue Eaaeaiae?a- Eaaeaiae?a 2-ai
?iaeo-Aaaa?a (§ 7).
Aianeiaeie iaeaioe/iinoi iaaaaeaii ?acoeueoaoe oinoiai ia?aa?aoo.
?icaeyiaii aia?eaeiee aeeoa?aioeiaeueiee iia?aoi?
, (13)
,
– aeeoa?aioeiaeueiee iia?aoi? Eaaeaiae?a. Aii ii?iaeaeo? naia?aoio
nenoaio ?iaiyiue oaieii?iaiaeiinoi ia?aaiei/iiai oeio ae?oaiai ii?yaeeo
(14)
Iaiaaeaiee a iaeano?
?ica’ycie nenoaie (14) ca ii/aoeiaeie oiiaaie
(15)
oa oiiaaie ni?yaeaiiy
(16)
aoaeo?oueny iaoiaeii ?ioaa?aeueiiai ia?aoai?aiiy Eaieana ii /ania?e
ci?ii?e t e ia? no?oeoo?o
(17)
Aiane?aeie ii/aoeiaeo oiia (15) a ?icoi?ii? oai??? ocaaaeueiaieo
ooieoe?e ia?ii ?ioaa?aeueia cia?aaeaiiy i??e Ae??aea
(18)
a?a?eaei? ?ioaa?aeuei? ia?aoai?aiiy Eaaeaiae?a 1-ai ?iaeo-Aaieaey
2-ai ?iaeo-Eaaeaiae?a
(19)
(20)
I?aenoieii ? oaa?aeaeaiiy.
Oai?aia 6.1. : Iaoae ooieoeiy
ni?aaaeaeo?oueny iioaa?aeueia cia?aaeaiiy
. (21)
, caaeiaieueiy? oiiae ni?yaeaiiy (1), e?aeia? oiiae
(22)
:
(23)
O o?aoueiio ?icae?e? cai?iaaaeaeaii a?a?eaei? ?ioaa?aeuei? ia?aoai?aiiy
Oo?’?-Eaaeaiae?a 2-ai ?iaeo-Eaaeaiae?a, Eaaeaiae?a- Oo?’?-Eaaeaiae?a
(iaoaiaoe/ia iaa?oiooaaiiy iaea?aeaii iaoiaeii aeaeueooaaoeo
iine?aeiaiinoae: a ?ie? yeeo aenooia? yae?i Eio?) oa
Eaaeaiae?a-Eaaeaiae?a 2-ai ?iaeo-Oo?’? (iaoiae iaoiaeii aeaeueooaaoeo
iine?aeiaiinoae: a ?ie? yeeo aenooia? yae?i Ae???oea). Oai?aie,
noi?ioeueiaai? a oeueiio ?icae?e?, ?aeaioe/i? aeuaiaaaaeaiei.
Eia?/ia noaia canoinoaaiiy cai?iaaaeaeaieo a aeena?oaoe?ei?e ?iaio?
a?a?eaeieo ?ioaa?aeueieo ia?aoai?aiue iieacaia ia oeiiaeo caaea/ao
iaoaiaoe/ii? o?ceee iaiaeii??aeieo no?oeoo? ye noaoe?iia?ieo (caaea/a
noaoeee oa caaea/a i?i e?o/aiiy iaiaeii??aeieo i?oaeieo ia’?eo?a), oae ?
ianoaoe?iia?ieo (caaea/a eaac?noaoeee oa caaea/a aeeiai?ee). ?ica’ycee
caaea/ iaea?aeaii a caieioo?e aiae?oe/i?e oi?i? aeai?eoi?/iiai
oa?aeoa?o. Oea aeicaiey? aeei?enoiaoaaoe ?o a ?iaeaia?ieo ?ic?aooieao (c
aeiiiiiaith no/anieo IAII). Ia/eneaiiy iaaeanieo iie?ia?aiao?e/ieo
?ioaa?ae?a iaoiaeii a?a?eaeiiai ?ioaa?aeueiiai ia?aoai?aiiy Eaaeaiae?a
2-ai ?iaeo-Eaaeaiae?a 2-ai ?iaeo-Oo?’? iieaco?, ui cai?iaaaeaeai?
a?a?eaei? ?ioaa?aeuei? ia?aoai?aiiy iiaeooue oni?oii canoiniaoaaoeny e
aei ia/eneaiiy iaaeanieo ?ioaa?ae?a, i?ae?ioaa?aeueia ooieoe?y yeeo
ae?aaea?oueny /a?ac aeaaa?a?/io ooieoe?th, i?e?aeiai? ooieoe??
Eaaeaiae?a, ooieoe?? Aannaey, o?eaiiiiao?e/i? ooieoe?? oa ?i., iath/e
i?e oeueiio a?aeiia?aeio aei ?ioaa?aeueieo ia?aoai?aiue eiino?oeoe?th.
AENIIAEE
c aeaiia oi/eaie ni?yaeaiiy cai?iaaaeaeaii a?a?eaeii iioaa?aeueii
ia?aoai?aiiy Oo?’?, Oo?’?- Eaaeaiae?a, Oo?’?- Oo?’? oa Oo?’?-Eaaeaiae?a
2-ai ?iaeo- Eaaeaiae?a.
c aeaiia oi/eaie ni?yaeaiiy iaoiaeii aeaeueoo-aaoeo iineiaeiaiinoae
iiaoaeiaaii aia?eaeii iioaa?aeueii ia?aoai?aiiy Eaaeaiae?a 1-ai ?iaeo-
Oo?’?- Oo?’?, Aaieaey 1-ai ?iaeo-Eaaeaiae?a 2-ai ?iaeo-Eaaeaiae?a,
Eaaeaiae?a 1-ai ?iaeo- Aaieaey 2-ai-Eaaeaiae?a, Eaaeaiae?a 1-ai
?iaeo-Eaaeaiae?a-2-ai ?iaeo-Aaaa?a, Eaaeaiae?a 1-ai ?iaeo-
Oo?’?-Eaaeaiae?a oa Eaaeaiae?a 1-ai ?iaeo- Eaaeaiae?a 2-ai ?iaeo-
Oo?’?.
c aeaiia oi/eaie ni?yaeaiiy iaoiaeii aeaeueooaaoeo iineiaeiaiinoae
iiaoaeiaaii aia?eaeii iioaa?aeueii ia?aoai?aiiy Eaaeaiae?a 2-ai ?iaeo-
Oo?’?- Oo?’?, Aaieaey 2-ai ?iaeo-Eaaeaiae?a 2-ai ?iaeo-Eaaeaiae?a,
Eaaeaiae?a 2-ai ?iaeo- Aaieaey 2-ai-Eaaeaiae?a, Eaaeaiae?a 2-ai
?iaeo-Eaaeaiae?a-2-ai ?iaeo-Aaaa?a, Eaaeaiae?a 2-ai ?iaeo-
Oo?’?-Eaaeaiae?a oa Eaaeaiae?a 2-ai ?iaeo- Eaaeaiae?a 2-ai ?iaeo-
Oo?’?.
4. Noi?ioeueiaai? e aeiaaaeai? oai?aie i?i iioaa?aeueia cia?aaeaiiy
eoneiai-iaia?a?aieo, aaniethoii noiiaieo (c oi/ii aecia/aiith
aaaiaithooieoe??th) ooieoeie iaiaaeaii? aa?iaoei? /a?ac yae?a
cai?iaaaeaeaieo aia?eaeieo iioaa?aeueieo ia?aoai?aiue;
5. Noi?ioeueiaai? e aeiaaaeai? oai?aie i?i iayai?noue iniiaii?
oioiaeiinoi iioaa?aeueiiai ia?aoai?aiiy aia?eaeiiai aeeoa?aioeiaeueiiai
iia?aoi?a, ui aeicaiey? iiaoaeoaaoe aeaaa?o aia?eaeieo
aeeoa?aioeiaeueieo iia?aoi?ia, a, cia/eoue, aeeeth/eoe ?o c ?icaeyaeo o
a?aeiia?aeieo caaea/ao iaoaiaoe/ii? o?ceee iaiaeii??aeieo no?oeoo?.
6. ??ciiaeaei?noue canoinoaaiiy cai?iaaaeaeaieo aia?eaeieo
iioaa?aeueieo ia?aoai?aiue iieacaii ia oeiiaeo caaea/ao iaoaiaoe/ii?
o?ceee iaiaeii??aeieo no?oeoo? oa ia caaea/? iieiia?aiao?e/ii? n?i’?
iaaeanieo iioaa?aeia iaoiaeii a?a?eaeiiai ?ioaa?aeueiiai ia?aoai?aiiy
Eaaeaiae?a 2-ai ?iaeo- Eaaeaiae?a 2-ai ?iaeo- Oo?’?.
Iniiai? ?acoeueoaoe aeena?oaoe?? iioae?eiaaii a ianooiieo ?iaioao:
1. Ieeeithe O.I. A?a?eaei? ?ioaa?aeuei? ia?aoai?aiiy Eaaeaiae?a 2-ai
?iaeo- Eaaeaiae?a 2-ai ?iaeo- Oo?’? // ?ioaa?aeuei? ia?aoai?aiiy oa ?o
canoinoaaiiy aei e?aeiaeo caaea/: Ca. iaoe. i?. – Ee?a: ?i-o iaoaiaoeee
AI Oe?a?ie, 1992. – Aei. 1. – N. 149-160.
2. Ieeeithe O.I. A?a?eaei? ?ioaa?aeuei? ia?aoai?aiiy (Eaaeaiae?a 1-ai
?iaeo- Oo?’? -Eaaeaiae?a ) // ?ioaa?aeuei? ia?aoai?aiiy oa ?o
canoinoaaiiy aei e?aeiaeo caaea/: Ca. iaoe. i?. – Ee?a: ?i-o iaoaiaoeee
AI Oe?a?ie, 1993. – Aei. 2. – N. 201-216.
3. Ieeeithe O.I. A?a?eaei? ?ioaa?aeuei? ia?aoai?aiiy (Eaaeaiae?a 2-ai
?iaeo- Oo?’? -Eaaeaiae?a) // ?ioaa?aeuei? ia?aoai?aiiy oa ?o
canoinoaaiiy aei e?aeiaeo caaea/: Ca. iaoe. i?. – Ee?a: ?i-o iaoaiaoeee
AI Oe?a?ie, 1994. – Aei. 4. – N. 153-165.
4. Ieeeithe O.I. A?a?eaei? ?ioaa?aeuei? ia?aoai?aiiy (Oaieaey 1-ai
?iaeo-Eaaeaiae?a 2-ai ?iaeo-Eaaeaiae?a) // ?ioaa?aeuei? ia?aoai?aiiy oa
?o canoinoaaiiy aei e?aeiaeo caaea/: Ca. iaoe. i?. – Ee?a: ?i-o
iaoaiaoeee AI Oe?a?ie, 1994. – Aei. 5. – N. 182-187.
5. Ieeeithe O.I. A?a?eaei? ?ioaa?aeuei? ia?aoai?aiiy Eaaeaiae?a 1-ai
?iaeo-Eaaeaiae?a-Aaaa?a // ?ioaa?aeuei? ia?aoai?aiiy oa ?o canoinoaaiiy
aei e?aeiaeo caaea/: Ca. iaoe. i?. – Ee?a: ?i-o iaoaiaoeee AI Oe?a?ie,
1994. – Aei. 6. – N. 164-172.
6. Ieeeithe O.I. A?a?eaei? ?ioaa?aeuei? ia?aoai?aiiy Eaaeaiae?a 1-ai
?iaeo-Oaieaey 2-ai ?iaeo-Eaaeaiae?a) // ?ioaa?aeuei? ia?aoai?aiiy oa ?o
canoinoaaiiy aei e?aeiaeo caaea/: Ca. iaoe. i?. – Ee?a: ?i-o iaoaiaoeee
AI Oe?a?ie, 1994. – Aei. 7. – N. 208-218.
7. Ieeeithe O.I. ?ioaa?aeuei? cia?aaeaiiy ooieoe?e iaiaaeaii. aa??aoe?.
/a?ac o?eaiiiiao?e/i? ooieoe?? oa ooieoe?? Eaaeaiae?a//Iaeeiaeiua
e?aaaua caaea/e iaoaiaoe/aneie oeceee e eo i?eeiaeaiey: Na. iao/. o?. –
Eeaa: Ei-o iaoaiaoeee AI Oe?aeiu, 1994. – N. 221.
8. Ieeeithe O.I. A?a?eaei? ?ioaa?aeuei? ia?aoai?aiiy (Eaaeaiae?a 1-ai
?iaeo-Eaaeaiae?a-Oo?’?) // Iaeeiaeiua e?aaaua caaea/e iaoaiaoe/aneie
oeceee e eo i?eeiaeaiey: Na. iao/. o?. – Eeaa: Ei-o iaoaiaoeee AI
Oe?aeiu, 1995. – N. 213-215.
9. Ieeeithe O.I. Ia/eneaiiy iaaeanieo ?ioaa?ae?a iaoiaeii a?a?eaeiiai
?ioaa?aeueiiai ia?aoai?aiiy Eaaeaiae?a 2-ai ?iaeo- Eaaeaiae?a 2-ai
?iaeo-Oo?’?) // ?ioaa?aeuei? ia?aoai?aiiy oa ?o canoinoaaiiy aei
e?aeiaeo caaea/: Ca. iaoe. i?. – Ee?a: ?i-o iaoaiaoeee IAI Oe?a?ie,
1996. – Aei. 13. – N. 188-196.
10. Ieeeithe O.I. Ia iaeiii eioaa?aeueiii i?aaenoaaeaiee ooieoeee
ia?aie/aiiie aa?eaoeee//I?aeia?iaeia eiioa?aioe?y, i?enay/aia iai’yo?
aeaaeai?ea I.I.E?aa/oea (22-28 aa?aniy 1992 ?., Ee?a-Eooeuee): Oac.
aeii. – Ee?a, 1992. – N. 159.
11. Aa?acianueeee A.A., Ieeeithe O.I. Cai?iaaaeaeaiiy a?a?eaeieo
?ioaa?aeueieo ia?aoai?aiue oeio Eaaeaiae?a-Eaaeaiae?a-Oo?’? // A?niee
Ee?anueeiai oi?aa?neoaoo. Na??y: o?ceei-iaoaiaoe/i? iaoee. – Ee?a,
1998. – 4. – N. 16-22.
12. Ieeeithe O.I. Cai?iaaaeaeaiiy a?a?eaeieo ?ioaa?aeueieo ia?aoai?aiue
oeio Eaaeaiae?a- Oo?’? -Oo?’? // Aeii. IAI Oe?a?ie, 1998. – ? 2. – N.
52-56.
13. Aa?acianueeee A.A., Ieeeithe O.I. Cai?iaaaeaeaiiy a?a?eaeieo
?ioaa?aeueieo ia?aoai?aiue oeio (Eaaeaiae?a, Eaaeaiae?a, Aannaey) //
E?aeia? caaea/? aeey aeeoa?aioe?aeueieo ??aiyiue: Ca. iaoe. i?. – Ee?a:
?i-o iaoaiaoeee IAI Oe?a?ie, 1998. – Aei. 1 (17). – N. 28-37.
IEEEITHE O.I. Cai?iaaaeaeaiiy a?a?eaeieo ?ioaa?aeueieo ia?aoai?aiue
(Oo?’?- Eaaeaiae?a-Aannaey). – ?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. – ?inoeooo
iaoaiaoeee IAI Oe?a?ie, Ee?a, 1999.
Iaoiaeii aeaeueoa-iiae?aieo iine?aeiaiinoae iiaoaeiaaii a?a?eaei?
?ioaa?aeuei? ia?aoai?aiiy (Oo?’?, Eaaeaiae?a, Aannaey), ii?iaeaeai?
anaiiaeeeaei niieo/aiiyi aeeoa?aioe?aeueieo iia?aoi??a Oo?’?, Eaaeaiae?a
oa Aannaey ia iiey?i?e in? c aeaiia oi/eaie ni?yaeaiiy. Eia?/io noaio
canoinoaaiiy iieacaii ia oeiiaeo caaea/ao iaoaiaoe/ii? o?ceee
iaiaeii??aeieo no?oeoo?.
Eeth/ia? neiaa: a?a?eaeiee aeeoa?aioe?aeueiee iia?aoi?, ?ioaa?aeuei?
ia?aoai?aiiy, yae?i Ae???oea, yae?i Eio?, niaeo?aeueia ooieoe?y, aaaiaa
ooieoe?y, niaeo?aeueia aonoeia, iniiaia oioiaei?noue.
Pilipyuk T.M. Introduction of hybrid integral transformations (Furie,
Legendres, Bessel). – Manuscript. The tesis to the obtain of Master’s
degree of physics-mathematics scienses on speciality 01.01.02 –
differential equations; The Institute of mathematics of the Ukrainian
NAN, Kiev, 1999.
The hybrid integral transformations (Furie, Legendres, Bessel) are
constructed by means of (-image sequenses. These transformations are
created by all kinds of combinations of the Furie, Legendres and Bessel
differential operators on polar oxis with two conjugated points. Logical
plan of usig is described on typycal problems of mathematical physics of
non-gomogeneous structures.
Key words: hybrid differential operator, integral transformations,
Dirichlet kernel, Cauchy kernel, spectral function, weight function,
spectral density.
Ieeeithe O.I. Aaaaeaiea aea?eaeiuo eioaa?aeueiuo iia?aoi?ia (Oo?uea,
Eaaeaiae?a, Aannaey). – ?oeiienue. Aeenna?oaoeey ia nieneaiea iao/iie
noaiaie eaiaeeaeaoa oeceei-iaoaiaoe/aneeo iaoe ii niaoeeaeueiinoe
01.01.02 – aeeooa?aioeeaeueiua o?aaiaiey. – Einoeooo iaoaiaoeee IAI
Oe?aeiu, Eeaa, 1999.
Iaeiei ec yooaeoeaiuo iaoiaeia ?aoaiey caaea/ iaoaiaoe/aneie oeceee
anoue iaoiae eioaa?aeueiuo i?aia?aciaaiee. Aeey ?aoaiey eeiaeiuo caaea/
iaoaiaoe/aneie oeceee n iai?a?uaiuie eiyooeoeeaioaie oe?iei i?eiaiythony
eeanne/aneea eioaa?aeueiua i?aia?aciaaiey Oo?uea, Eaianna,
Oo?uea-Aannaey, Aaaa?a, Iaeeeia, Eaaeaiae?a, Aeeueaa?oa, Eaioi?iae/a-
Eaaaaeaaa, Iaea?a-Oiea e ae?. A nayce n oe?ieei aiaae?aieai eiiiiceoiuo
iaoa?eaeia aicieeea ino?ay iaiaoiaeeiinoue a iino?iaiee oaeeo
eioaa?aeueiuo i?aia?aciaaiee, eioi?ua aeaaaee au aiciiaeiinoue
aeaaa?ecaoeee aeeooa?aioeeaeueiuo o?aaiaiee n eoni/ii-iai?a?uaiuie
eiyooeoeeaioaie.
Yoi ii?aaeaeeei iai?aaeaiea aeenna?oaoeeiiiie ?aaiou, iinayuaiiie
iino?iaieth e iaoaiaoe/aneiio iainiiaaieth aea?eaeiuo eioaa?aeueiuo
i?aia?aciaaiee, ii?iaeaeaiiuo ia iiey?iie ine n aeaoiy oi/eaie
nii?yaeaiey anaaiciiaeiui ni/aoaieai aeeooa?aioeeaeueiuo iia?aoi?ia
Oo?uea, Oo?uea, Eaaeaiae?a (?acaeae 1); Eaaeaiae?a, Eaaeaiae?a, Aannaey
(?acaeae 2) e Oo?uea, Eaaeaiae?a, Eaaeaiae?a (?acaeae 3). Eiae/aneay
noaia i?eiaiaiey aaaaeaiiuo aea?eaeiuo eioaa?aeueiuo i?aia?aciaaiee
iieacaia ia oeie/iuo caaea/ao iaoaiaoe/aneie oeceee iaiaeii?iaeiie
n?aaeu. I?e yoii iu iieo/aai oi/iia ?aoaiea caaea/e noaoeee,
eaacenoaoeee, aeeiaieee a caieiooie aiaeeoe/aneie oi?ia aeai?eoie/aneiai
oa?aeoa?a, oaeiaiia eae aeey ea/anoaaiiiai enneaaeiaaiey, oae e aeey
eiaeaia?iuo ?an/aoia.
Iaoiaeii iino?iaiey aea?eaeiuo eioaa?aeueiuo i?aia?aciaaaiee anoue
iaoiae aeaeue-ia?aciuo oiineaaeiaaoaeueiinooe (yae?i Aee?eoea, yae?i
Eioe. A i?ioeanna enneaaeiaaiey eniieueciaaii yeaiaiou oai?ee e?aaauo
caaea/ aeey aeeooa?aioeeaeueiuo o?aaiaiee e nenoai aeeooa?aioeeaeueiuo
o?aaiaiee, yeaiaiou oai?ee ooieoeee eiiieaeniiai ia?aiaiiiai, oai?ee
iaiauaiiuo ooieoeee, eioaa?aeueiia i?aia?aciaaiea Eaieana (iia?aoeeiiiue
iaoiae).
Iao/iay iiaecia iieo/aiiuo a aeenna?oaoeee ?acoeueoaoia naiaeeony e
neaaeothuaio:
– ia iiey?iie ine n aeaoiy oi/eaie nii?yaeaiey iaoiaeii
aeaeueoa-ia?aciuo iineaaeiaaoaeueiinoae, a ea/anoaa eioi?uo neoaeeo
yae?i Eioe, iino?iaiu aea?eaeiua eioaa?aeueiua i?aia?aciaaiey
Oo?uea-Oo?uea- Eaaeaiae?a, Aaieaey- Eaaeaiae?a 2-ai ?iaea- Eaaeaiae?a,
Eaaeaiae?a- Aaieaey 2-ai ?iaea- Eaaeaiae?a, Oo?uea- Eaaeaiae?a 2-ai
?iaea- Eaaeaiae?a e Eaaeaiae?a- Oo?uea- Eaaeaiae?a;
– ia iiey?iie ine n aeaoiy oi/eaie nii?yaeaiey iaoiaeii
aeaeueoa-iiaeiaiuo iineaaeiaaoaeueiinoae, a ?iee eioi?uo aunooiaao
yae?i Aee?eoea, aaaaeaiu aea?eaeiua eioaa?aeueiua i?aia?aciaaiey Oo?uea-
Eaaeaiae?a- Oo?uea, Eaaeaiae?a- Oo?uea- Oo?uea, Eaaeaiae?a- Eaaeaiae?a-
Aaaa?a e Eaaeaiae?a- Eaaeaiae?a- Oo?uea;
– iieo/aiu oai?aiu ia eioaa?aeueiii i?aaenoaaeaiee eoni/ii-iai?a?uaiuo,
aaniethoii noiie?oaiuo ooieoeee ia?aie/aiiie aa?eaoeee /a?ac yae?a
iino?iaiiuo aea?eaeiuo eioaa?aeueiuo i?aia?aciaaiee;
– iieo/aiu iniiaiua oiaeaeanoaa eioaa?aeueiuo i?aia?aciaaiee aea?eaeiuo
aeeooa?aioeeaeueiuo iia?aoi?ia, iicaieythueo iino?ieoue eo aeaaa?o e,
neaaeiaaoaeueii, eneeth/eoue eo ec ?anniio?aiey a niioaaonoaothueo
neiaoey?iuo caaea/ao iaoaiaoe/aneie oeceee iaiaeii?iaeiuo no?oeoo?;
Eeth/aaua neiaa: aea?eaeiue aeeooa?aioeeaeueiue iia?aoi?, aea?eaeiua
eioaa?aeueiua i?aia?aciaaiey, aeaeueoa-ia?aciua iineaaeiaaoaeueiinoe,
yae?i Aee?eoea, yae?i Eioe, niaeo?aeueiay ooieoeey, aaniaay ooieoeey,
niaeo?aeueiay ieioiinoue, iniiaiia oiaeaeanoai.
I?aei. aei ae?oeo 22.12.98. Oi?iao 60o94/16. Iai?? ae?oe.
Ion. ae?oe.
Oi. ae?oe.aie. 0,93. Oi. oa?ai-a?aea. 0,93.
Iae.-aeae aie. 0.7.
Oe?aae 100 i?. cai. 248. Aaceiooiaii.
A?aeae?oeiaaii a ?inoeooo? iaoaiaoeee IAI Oe?a?ie252601,
Ee?a-4, INI, aoe. Oa?auaie?anueea, 3
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