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Matematicheskie Zametki, 1969, Volume 5, Issue 2, Pages 253–260 (Mi mzm6830)  
This article is cited in 6 scientific papers (total in 6 papers)

Non-zero solutions of equations with strong nonlinearities

M. A. Krasnosel'skiiab, Yu. V. Pokornyiab

a Voronezh State University
b Automatics and Mechanics (Technical Cybernetics) Institute of USSR Academy of Sciences
Full-text PDF (600 kB) Citations (6)
Abstract: Existence theorems are proved for non-zero solutions of a multi-point Valle–Poussin boundary problem for differential equations with strong non-linearities. The proof is based on the construction of special cones in a Banach space, and on the application of a modification of a theorem on fixed points of operators which expand a cone.
Received: 04.03.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 2, Pages 153–157
DOI: https://doi.org/10.1007/BF01098316
Bibliographic databases:
UDC: 513.88
Language: Russian
Citation: M. A. Krasnosel'skii, Yu. V. Pokornyi, “Non-zero solutions of equations with strong nonlinearities”, Mat. Zametki, 5:2 (1969), 253–260; Math. Notes, 5:2 (1969), 153–157
Citation in format AMSBIB
\Bibitem{KraPok69}
\by M.~A.~Krasnosel'skii, Yu.~V.~Pokornyi
\paper Non-zero solutions of equations with strong nonlinearities
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 2
\pages 253--260
\mathnet{http://mi.mathnet.ru/mzm6830}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=240687}
\zmath{https://zbmath.org/?q=an:0183.15601}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 2
\pages 153--157
\crossref{https://doi.org/10.1007/BF01098316}
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    • 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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