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Matematicheskie Zametki, 2003, Volume 73, Issue 1, Pages 113–119
DOI: https://doi.org/10.4213/mzm169 (Mi mzm169) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Branching of Solutions of the Abstract Kinetic Equation

N. N. Fimin, V. A. Chuyanov

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
Full-text PDF (220 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm169
Abstract: In this paper, bifurcation of solutions of a special nonlinear operator equation used in mathematical physics is considered. In the case of an equation for which the Fréchet derivative of the associated operator is a locally perturbed Fredholm operator, sufficient conditions for branching of solutions are studied. The methodology of application of the formalism developed in the paper is demonstrated by the example of the Boltzmann equation.
Received: 14.04.1997
Revised: 26.07.1999
English version:
Mathematical Notes, 2003, Volume 73, Issue 1, Pages 103–109
DOI: https://doi.org/10.1023/A:1022130202626
Bibliographic databases:
UDC: 533.7
Language: Russian
Citation: N. N. Fimin, V. A. Chuyanov, “Branching of Solutions of the Abstract Kinetic Equation”, Mat. Zametki, 73:1 (2003), 113–119; Math. Notes, 73:1 (2003), 103–109
Citation in format AMSBIB
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\pages 113--119
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\transl
\jour Math. Notes
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\vol 73
\issue 1
\pages 103--109
\crossref{https://doi.org/10.1023/A:1022130202626}
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  • https://doi.org/10.4213/mzm169
  • https://www.mathnet.ru/eng/mzm/v73/i1/p113
    • 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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