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Matematicheskie Zametki, 1972, Volume 11, Issue 5, Pages 569–576 (Mi mzm9824)  

This article is cited in 2 scientific papers (total in 2 papers)

On the Peano theorem in infinite-dimensional spaces

M. I. Kamenskii

Voronezh State University
Full-text PDF (905 kB) Citations (2)
Abstract: New sufficient conditions for a first-order ordinary differential equation in an infinite Banach space to be locally solvable and for the solution to depend continuously on a parameter are obtained. The results are applied to an integrodifferential equation.
Received: 14.05.1971
English version:
Mathematical Notes, 1972, Volume 11, Issue 5, Pages 347–351
DOI: https://doi.org/10.1007/BF01158650
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. I. Kamenskii, “On the Peano theorem in infinite-dimensional spaces”, Mat. Zametki, 11:5 (1972), 569–576; Math. Notes, 11:5 (1972), 347–351
Citation in format AMSBIB
\Bibitem{Kam72}
\by M.~I.~Kamenskii
\paper On the Peano theorem in infinite-dimensional spaces
\jour Mat. Zametki
\yr 1972
\vol 11
\issue 5
\pages 569--576
\mathnet{http://mi.mathnet.ru/mzm9824}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=304808}
\zmath{https://zbmath.org/?q=an:0267.34055|0245.34001}
\transl
\jour Math. Notes
\yr 1972
\vol 11
\issue 5
\pages 347--351
\crossref{https://doi.org/10.1007/BF01158650}
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  • https://www.mathnet.ru/eng/mzm9824
  • https://www.mathnet.ru/eng/mzm/v11/i5/p569
  • 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
    Математические заметки Mathematical Notes
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    Full-text PDF :92
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