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Vestnik Yuzhno-Ural'skogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie, 2011, Issue 10, Pages 30–39 (Mi vyuru183)  
This article is cited in 1 scientific paper (total in 1 paper)

Mathematical Modeling

Estimates for solutions and attraction domains of the zero solution to systems of quasi-linear equations of neutral type

M. A. Skvortsova

Sobolev Institute of Mathematics SB RAS (Russia, Novosibirsk)
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Abstract: The present paper is devoted to study a class of systems of differential equations of neutral type. We obtain attraction domains of the zero solution and establish estimates of exponential decay at infinity for solutions. In particular, asymptotic stability of the zero solution follows from these estimates. These results were derived by the use of a modified Lyapunov–Krasovskii functional.
Keywords: systems of quasi-linear equations of neutral type, asymptotic stability, attraction domains, uniform estimates for solutions, modified Lyapunov–Krasovskii functional.
Received: 31.05.2011
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: M. A. Skvortsova, “Estimates for solutions and attraction domains of the zero solution to systems of quasi-linear equations of neutral type”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 2011, no. 10, 30–39
Citation in format AMSBIB
\Bibitem{Skv11}
\by M.~A.~Skvortsova
\paper Estimates for solutions and attraction domains of the zero solution to systems of quasi-linear equations of neutral type
\jour Vestnik YuUrGU. Ser. Mat. Model. Progr.
\yr 2011
\issue 10
\pages 30--39
\mathnet{http://mi.mathnet.ru/vyuru183}
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