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Matematicheskie Zametki, 1997, Volume 61, Issue 5, Pages 677–686
DOI: https://doi.org/10.4213/mzm1549 (Mi mzm1549) 		 
This article is cited in 2 scientific papers (total in 3 papers)

The cauchy problem for a nonlinear integro-differential transport equation

A. V. Kalinin, S. F. Morozov

N. I. Lobachevski State University of Nizhni Novgorod
Full-text PDF (198 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm1549
Abstract: In the present paper, we study the Cauchy problem for a nonlinear time-dependent kinetic neutrino transport equation. We prove the existence and uniqueness theorem for the solution of the Cauchy problem, establish uniform bounds in $t$ for the solution of this problem, and prove the existence and uniqueness of a stationary trajectory and the stabilization as $t\to\infty$ of the solution of the time-dependent problem for arbitrary initial data.
Received: 01.03.1995
English version:
Mathematical Notes, 1997, Volume 61, Issue 5, Pages 566–573
DOI: https://doi.org/10.1007/BF02355077
Bibliographic databases:
UDC: 517.598.7
Language: Russian
Citation: A. V. Kalinin, S. F. Morozov, “The cauchy problem for a nonlinear integro-differential transport equation”, Mat. Zametki, 61:5 (1997), 677–686; Math. Notes, 61:5 (1997), 566–573
Citation in format AMSBIB
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\paper The cauchy problem for a~nonlinear integro-differential transport equation
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\issue 5
\pages 677--686
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\transl
\jour Math. Notes
\yr 1997
\vol 61
\issue 5
\pages 566--573
\crossref{https://doi.org/10.1007/BF02355077}
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Linking options:
  • https://www.mathnet.ru/eng/mzm1549
  • https://doi.org/10.4213/mzm1549
  • https://www.mathnet.ru/eng/mzm/v61/i5/p677
    • This publication is cited in the following 3 articles:
    1. A. V. Chernov, “Operator Equations of the Second Kind: Theorems on the Existence and Uniqueness of the Solution and on the Preservation of Solvability”, Diff Equat, 58:5 (2022), 649  crossref
    2. A. V. Kalinin, A. A. Tyukhtina, “On a nonlinear problem for a system of integro-differential equations of radiative transfer theory”, Comput. Math. Math. Phys., 62:6 (2022), 933–944  mathnet  mathnet  crossref  crossref
    3. M. K. Kerimov, “In memory of Professor Stanislav Fëdorovich Morozov (1931–2003)”, Comput. Math. Math. Phys., 45:1 (2005), 176–183  mathnet  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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