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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2010, Issue 1, Pages 11–21 (Mi vuu137)  
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On a correctness of boundary value problems and continuous dependence of periodic solutions of controllable systems on parameters

E. O. Burlakova, E. S. Zhukovskiib

a Tambov State University
b Institute of Mathematics, Physics and Information Science, Tambov State University
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Abstract: Conditions for continuous dependence on parameters of solution of a general boundary value problem are obtained for a functional-differential equation. The results are applied to investigation of a correctness of a linear general boundary value problem for the nonlinear differential equation with divergent argument and to problem of continuous dependence of periodic solutions of controllable system on control and divergence values.
Keywords: functional-differential equations, boundary value problems, continuous dependence of solutions on parameters, periodic solutions of controllable systems.
Received: 11.11.2009
Document Type: Article
UDC: 517.988.6, 517.977.1
MSC: 34F31, 34C23
Language: Russian
Citation: E. O. Burlakov, E. S. Zhukovskii, “On a correctness of boundary value problems and continuous dependence of periodic solutions of controllable systems on parameters”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2010, no. 1, 11–21
Citation in format AMSBIB
\Bibitem{BurZhu10}
\by E.~O.~Burlakov, E.~S.~Zhukovskii
\paper On a correctness of boundary value problems and continuous dependence of periodic solutions of controllable systems on parameters
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2010
\issue 1
\pages 11--21
\mathnet{http://mi.mathnet.ru/vuu137}
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