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Matematicheskie Zametki, 2014, Volume 95, Issue 1, Pages 37–49
DOI: https://doi.org/10.4213/mzm10198 (Mi mzm10198) 		 
This article is cited in 4 scientific papers (total in 4 papers)

On a Class of Impulsive Functional-Differential Equations with Nonatomic Difference Operator

L. A. Vlasenko, A. G. Rutkas

V. N. Karazin Kharkiv National University
Full-text PDF (545 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm10198
Abstract: We establish conditions for the existence and uniqueness of the solutions of nonlinear functional-differential equations with impulsive action in a Banach space. The equation under consideration is not solved for the derivative. It is assumed that the characteristic operator pencil corresponding to the linear part of the equation satisfies a constraint of parabolic type in the right half-plane. Applications to partial functional-differential equations not of Kovalevskaya type are considered.
Keywords: impulsive functional-differential equation, nonatomic difference operator, equation of Sobolev type, equation not of Kovalevskaya type, Sobolev space, operator pencil, Banach space.
Received: 25.12.2012
English version:
Mathematical Notes, 2014, Volume 95, Issue 1, Pages 32–42
DOI: https://doi.org/10.1134/S0001434614010040
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: L. A. Vlasenko, A. G. Rutkas, “On a Class of Impulsive Functional-Differential Equations with Nonatomic Difference Operator”, Mat. Zametki, 95:1 (2014), 37–49; Math. Notes, 95:1 (2014), 32–42
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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