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Zapiski Nauchnykh Seminarov POMI, 1998, Volume 248, Pages 225–230 (Mi znsl635)  
This article is cited in 2 scientific papers (total in 2 papers)

Solvability of nonlinear equations in a cone of a Banach space

M. N. Yakovlev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (118 kB) Citations (2)
Abstract: The solvability conditions for the equation $Tu+F(u)=0$ are found in the case where the operator $[T+F'(u)]^{-1}$ exists only for $u\in K$, where $K$ is a cone in the Banach space $X$. An application concerning the solvability of boundary-value problems for a system of second-order differential equations is provided.
Received: 15.02.1997
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 101, Issue 4, Pages 3361–3364
DOI: https://doi.org/10.1007/BF02672779
Bibliographic databases:
UDC: 519
Language: Russian
Citation: M. N. Yakovlev, “Solvability of nonlinear equations in a cone of a Banach space”, Computational methods and algorithms. Part XIII, Zap. Nauchn. Sem. POMI, 248, POMI, St. Petersburg, 1998, 225–230; J. Math. Sci. (New York), 101:4 (2000), 3361–3364
Citation in format AMSBIB
\Bibitem{Yak98}
\by M.~N.~Yakovlev
\paper Solvability of nonlinear equations in a cone of a Banach space
\inbook Computational methods and algorithms. Part~XIII
\serial Zap. Nauchn. Sem. POMI
\yr 1998
\vol 248
\pages 225--230
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl635}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1693217}
\zmath{https://zbmath.org/?q=an:0977.47053}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 101
\issue 4
\pages 3361--3364
\crossref{https://doi.org/10.1007/BF02672779}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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