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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 309, Pages 174–188 (Mi znsl824)  
This article is cited in 6 scientific papers (total in 6 papers)

Solvability of singular boundary-value problems for ordinary differential equations of order $2m$

M. N. Yakovlev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (161 kB) Citations (6)
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Abstract: Theorems on the existence and uniqueness of generalized and classical solutions of the first boundary-value problem for an ordinary differential equation of order $2m$ in the case where the functions involved are nonintegrable at the points at which boundary conditions are imposed (singular problems) are established. The results obtained justify the applicability of the Ritz and Galerkin methods to the problems considered.
Received: 15.06.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 132, Issue 2, Pages 240–248
DOI: https://doi.org/10.1007/s10958-005-0493-4
Bibliographic databases:
UDC: 519
Language: Russian
Citation: M. N. Yakovlev, “Solvability of singular boundary-value problems for ordinary differential equations of order $2m$”, Computational methods and algorithms. Part XVII, Zap. Nauchn. Sem. POMI, 309, POMI, St. Petersburg, 2004, 174–188; J. Math. Sci. (N. Y.), 132:2 (2006), 240–248
Citation in format AMSBIB
\Bibitem{Yak04}
\by M.~N.~Yakovlev
\paper Solvability of singular boundary-value problems for ordinary differential equations of order~$2m$
\inbook Computational methods and algorithms. Part~XVII
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 309
\pages 174--188
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl824}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2091598}
\zmath{https://zbmath.org/?q=an:1089.34020}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 132
\issue 2
\pages 240--248
\crossref{https://doi.org/10.1007/s10958-005-0493-4}
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  • https://www.mathnet.ru/eng/znsl/v309/p174
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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