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Title: О существовании и единственности ограниченного решения функционально-дифференциальных уравнений нейтрального типа в Банаховом пространстве (Russian)
Title: 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
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Category: math
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MSC: 34G20
MSC: 34K05
MSC: 34K30
idZBL: Zbl 0492.34055
idMR: MR673247
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Date available: 2008-06-06T06:09:09Z
Last updated: 2012-05-09
Stable URL: http://hdl.handle.net/10338.dmlcz/107093
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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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