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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 5, Pages 1025–1040 (Mi smj1786)  
This article is cited in 58 scientific papers (total in 58 papers)

Stability of solutions to delay differential equations with periodic coefficients of linear terms

G. V. Demidenko, I. I. Matveeva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (315 kB) Citations (58)
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Abstract: Under study are the systems of quasilinear delay differential equations with periodic coefficients of linear terms. We establish sufficient conditions for the asymptotic stability of the zero solution, obtain estimates for solutions which characterize the decay rate at infinity, and find the attractor of the zero solution. Similar results are obtained for systems with parameters.
Keywords: delay differential equation, periodic coefficients, asymptotic stability, Lyapunov–Krasovskii functional.
Received: 18.04.2007
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 5, Pages 824–836
DOI: https://doi.org/10.1007/s11202-007-0084-3
Bibliographic databases:
UDC: 517.929.4
Language: Russian
Citation: G. V. Demidenko, I. I. Matveeva, “Stability of solutions to delay differential equations with periodic coefficients of linear terms”, Sibirsk. Mat. Zh., 48:5 (2007), 1025–1040; Siberian Math. J., 48:5 (2007), 824–836
Citation in format AMSBIB
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    • This publication is cited in the following 58 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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