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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 3, Pages 388–404 (Mi zvmmf3293)  
This article is cited in 10 scientific papers (total in 10 papers)

Approximation of the bounded solution of an ordinary linear differential equation by solutions of two-point boundary-value problems

D. S. Dzhumabaev

Alma-Ata
Full-text PDF (1674 kB) Citations (10) English version article
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Abstract: The method of parametrization is used to obtain necessary and sufficient conditons for the correct solvability of the problem of finding the solution bounded on the entire real axis. For systems whose matrices and right-hand sides are constant in the limit, two-point bounary-value problems which approximate the problem in question are constructed. An estimate of the approximation is also given. The connection between the correct solvability of the original problem and that of the problem used as approximations is established.
Received: 29.03.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 2, Pages 34–45
DOI: https://doi.org/10.1016/0041-5553(90)90074-3
Bibliographic databases:
Document Type: Article
UDC: 519.624
MSC: Primary 65L10; Secondary 34B05
Language: Russian
Citation: D. S. Dzhumabaev, “Approximation of the bounded solution of an ordinary linear differential equation by solutions of two-point boundary-value problems”, Zh. Vychisl. Mat. Mat. Fiz., 30:3 (1990), 388–404; U.S.S.R. Comput. Math. Math. Phys., 30:2 (1990), 34–45
Citation in format AMSBIB
\Bibitem{Dzh90}
\by D.~S.~Dzhumabaev
\paper Approximation of the bounded solution of an ordinary linear differential equation by solutions of two-point boundary-value problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 3
\pages 388--404
\mathnet{http://mi.mathnet.ru/zvmmf3293}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1051411}
\zmath{https://zbmath.org/?q=an:0752.65061}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 2
\pages 34--45
\crossref{https://doi.org/10.1016/0041-5553(90)90074-3}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:104
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