Title:
|
О существовании и единственности ограниченного решения функционально-дифференциальных уравнений нейтрального типа в Банаховом пространстве (Russian) |
Title:
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On existence and uniqueness of bounded solution of functional-differential equations of neutral type in Banach space (English) |
Author:
|
Angelov, Vasil G. |
Author:
|
Bajnov, Drumi Dimitrov |
Language:
|
Russian |
Journal:
|
Archivum Mathematicum |
ISSN:
|
0044-8753 (print) |
ISSN:
|
1212-5059 (online) |
Volume:
|
17 |
Issue:
|
2 |
Year:
|
1981 |
Pages:
|
65-72 |
. |
Category:
|
math |
. |
MSC:
|
34G20 |
MSC:
|
34K05 |
MSC:
|
34K30 |
idZBL:
|
Zbl 0492.34055 |
idMR:
|
MR673247 |
. |
Date available:
|
2008-06-06T06:09:09Z |
Last updated:
|
2012-05-09 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107093 |
. |
Reference:
|
[1] Maгtin R. H.: A global existence theorem for autonomous differential equations in a Banach space.Proc. Amer. Math. Soc. 26 (1970), 307-314. MR 0264195 |
Reference:
|
[2] Webb G. F.: Accretive operators and existence for nonlinear functional differential equations.J. Diff. Equations 14 (1973), 57-69. Zbl 0243.34122, MR 0346265 |
Reference:
|
[3] Lovelady D. L., Martin R. H.: A global existence theorem for nonautonomous differential equations in a Banach space.Proc. Amer. Math. Soc. 35 (1972), 445-449. MR 0303035 |
Reference:
|
[4] Barbu V.: Semigrupuri de contractii nelineare in spatii Banach.Ed. Acad. R S Romania, Bucuresti, 1974. MR 0370280 |
Reference:
|
[5] Pavel N.: Ecuatii diferentiale asociate unor operatori neliniari pe spatii Banach.Ed. Acad. R S Romania, Bucuresti, 1977. Zbl 0357.34060, MR 0467407 |
Reference:
|
[6] Kato T.: Nonlinear semigroups and evolution equations.J. Math. Soc. Japan, 19 (1967), 508-520. Zbl 0163.38303, MR 0226230 |
Reference:
|
[7] Кypпeль H. C: O cyщecmвoвaнuu, eдuнcmвeннocmu u нenpepывнoй зaвucuмocmu om napaмempa oгpaнuчeнныx peшeнuй фyнкцuoнaлънo-дuффepeнцuaлъныx ypaвнeнuй. Kaчecmвeнныe мemoды meopuu дuффepeнцuaлъныx ypaвнeнuй c omклoняющuмcя apгyмeнmoм.Издaниe Инcтитyтa мaтeмaтики AH УCCP, Kиeв, 1977, 45-49. |
Reference:
|
[8] Jankowski T., Kwapisz M.: On the existence and uniqueness of solutions of systems of differential equations with deviated argument.Ann. Pol. Math. XXVI (1972), 253-277. MR 0303047 |
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