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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 6, Pages 1271–1284 (Mi smj1138)  
This article is cited in 21 scientific papers (total in 21 papers)

On stability of solutions to quasilinear periodic systems of differential equations

G. V. Demidenko, I. I. Matveeva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (207 kB) Citations (21)
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Abstract: We consider a quasilinear system of differential equations with periodic coefficients in the linear terms. We obtain estimates for the attraction domain of the zero solution and establish estimates for the decay rate of solutions at infinity. The results are stated in terms of the integrals of the norm of a periodic solution to the Lyapunov differential equation.
Keywords: asymptotic stability, attraction domain, Lyapunov differential equation.
Received: 17.04.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 6, Pages 1041–1052
DOI: https://doi.org/10.1023/B:SIMJ.0000048919.83985.25
Bibliographic databases:
UDC: 517.925.51
Language: Russian
Citation: G. V. Demidenko, I. I. Matveeva, “On stability of solutions to quasilinear periodic systems of differential equations”, Sibirsk. Mat. Zh., 45:6 (2004), 1271–1284; Siberian Math. J., 45:6 (2004), 1041–1052
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
\yr 2004
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\pages 1041--1052
\crossref{https://doi.org/10.1023/B:SIMJ.0000048919.83985.25}
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    • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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