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Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 3, Pages 122–132 (Mi sjim798)  
This article is cited in 27 scientific papers (total in 27 papers)

Estimates for solutions to one class of nonlinear delay differential equations

I. I. Matveevaab

a Sobolev Institute of Mathematics SD RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirk State University, Pirogova st., 2, 630090 Novosibirsk
Full-text PDF (220 kB) Citations (27)
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Abstract: We consider systems of nonlinear delay differential equations with periodic coefficients in the linear terms. Sufficient conditions for the asymptotic stability of the zero solution are established. We obtain estimates characterizing the decay of solutions at infinity and describe the attraction sets for the zero solution.
Keywords: delay differential equations, periodic coefficients, asymptotic stability, Lyapunov–Krasovskii functional, estimates for solutions, attraction set.
Received: 22.07.2013
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 4, Pages 557–566
DOI: https://doi.org/10.1134/S1990478913040108
Bibliographic databases:
Document Type: Article
UDC: 517.929.4
Language: Russian
Citation: I. I. Matveeva, “Estimates for solutions to one class of nonlinear delay differential equations”, Sib. Zh. Ind. Mat., 16:3 (2013), 122–132; J. Appl. Industr. Math., 7:4 (2013), 557–566
Citation in format AMSBIB
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\by I.~I.~Matveeva
\paper Estimates for solutions to one class of nonlinear delay differential equations
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 3
\pages 122--132
\mathnet{http://mi.mathnet.ru/sjim798}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3234779}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 4
\pages 557--566
\crossref{https://doi.org/10.1134/S1990478913040108}
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    • This publication is cited in the following 27 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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