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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 3, Pages 629–645 (Mi zvmmf4527)  

This article is cited in 32 scientific papers (total in 32 papers)

Singular Cauchy problems for systems of ordinary differential equations

N. B. Konyukhova

Moscow
Abstract: Cauchy problems are investigated for systems of nonlinear ordinary differential equations with initial conditions specified at a singular point. Existence and uniqueness theorems for the solution of singular Cauchy problems, and theorems on the asymptotic representation of the solutions in the neighbourhood of singular points are presented.
Received: 11.02.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 3, Pages 72–82
DOI: https://doi.org/10.1016/S0041-5553(83)80104-9
Bibliographic databases:
Document Type: Article
UDC: 517.91/.93
MSC: Primary 34A12; Secondary 34E05
Language: Russian
Citation: N. B. Konyukhova, “Singular Cauchy problems for systems of ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 23:3 (1983), 629–645; U.S.S.R. Comput. Math. Math. Phys., 23:3 (1983), 72–82
Citation in format AMSBIB
\Bibitem{Kon83}
\by N.~B.~Konyukhova
\paper Singular Cauchy problems for systems of ordinary differential equations
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 3
\pages 629--645
\mathnet{http://mi.mathnet.ru/zvmmf4527}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=706888}
\zmath{https://zbmath.org/?q=an:0529.34003}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 3
\pages 72--82
\crossref{https://doi.org/10.1016/S0041-5553(83)80104-9}
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  • This publication is cited in the following 32 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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