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Sibirskii Zhurnal Industrial'noi Matematiki, 2006, Volume 9, Number 2, Pages 107–115 (Mi sjim255)  
This article is cited in 1 scientific paper (total in 1 paper)

Approximate solution of a boundary value problem for the Lyapunov differential equation with a parameter

I. I. Matveeva, E. A. Samuilova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: A special boundary value problem is studied for the Lyapunov differential equation which is used for investigation of the asymptotic properties of solutions to systems of periodic differential equations with a parameter. An algorithm is proposed for constructing an approximate solution to this boundary value problem, and conditions on the parameter are found under which the zero solution to the system is asymptotically stable.
Received: 25.11.2005
English version:
Journal of Applied and Industrial Mathematics, 2008, Volume 2, Issue 2, Pages 222–230
DOI: https://doi.org/10.1134/S1990478908020087
Bibliographic databases:
UDC: 517.925.51
Language: Russian
Citation: I. I. Matveeva, E. A. Samuilova, “Approximate solution of a boundary value problem for the Lyapunov differential equation with a parameter”, Sib. Zh. Ind. Mat., 9:2 (2006), 107–115; J. Appl. Industr. Math., 2:2 (2008), 222–230
Citation in format AMSBIB
\Bibitem{MatSam06}
\by I.~I.~Matveeva, E.~A.~Samuilova
\paper Approximate solution of a~boundary value problem for the Lyapunov differential equation with a~parameter
\jour Sib. Zh. Ind. Mat.
\yr 2006
\vol 9
\issue 2
\pages 107--115
\mathnet{http://mi.mathnet.ru/sjim255}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2310164}
\transl
\jour J. Appl. Industr. Math.
\yr 2008
\vol 2
\issue 2
\pages 222--230
\crossref{https://doi.org/10.1134/S1990478908020087}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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