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Matematicheskie Zametki, 1970, Volume 7, Issue 2, Pages 229–237 (Mi mzm9500)  
This article is cited in 1 scientific paper (total in 1 paper)

On some existence theorems for the solutions of a class of nonlinear operator equations

G. M. Goncharov

Voronezh State Pedagogical Institute
Full-text PDF (1002 kB) Citations (1)
Abstract: Theorems of M. A. Krasnosel'skii are generalized which concern fixed points of completely continuous operators which compress or expand a cone, and a topological principle for fixed points in the case of $P$-compact operators.
Received: 11.12.1968
English version:
Mathematical Notes, 1970, Volume 7, Issue 2, Pages 137–141
DOI: https://doi.org/10.1007/BF01093498
Bibliographic databases:
Document Type: Article
UDC: 513.88
Language: Russian
Citation: G. M. Goncharov, “On some existence theorems for the solutions of a class of nonlinear operator equations”, Mat. Zametki, 7:2 (1970), 229–237; Math. Notes, 7:2 (1970), 137–141
Citation in format AMSBIB
\Bibitem{Gon70}
\by G.~M.~Goncharov
\paper On some existence theorems for the solutions of a class of nonlinear operator equations
\jour Mat. Zametki
\yr 1970
\vol 7
\issue 2
\pages 229--237
\mathnet{http://mi.mathnet.ru/mzm9500}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=262894}
\zmath{https://zbmath.org/?q=an:0198.48102|0193.43302}
\transl
\jour Math. Notes
\yr 1970
\vol 7
\issue 2
\pages 137--141
\crossref{https://doi.org/10.1007/BF01093498}
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  • https://www.mathnet.ru/eng/mzm/v7/i2/p229
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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