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Sibirskii Zhurnal Industrial'noi Matematiki, 2009, Volume 12, Number 4, Pages 64–78 (Mi sjim583)  
This article is cited in 8 scientific papers (total in 8 papers)

On the Solvability of Boundary Value Problems for the Quasilinear Ultraparabolic Equations of Certain Mathematical Models of the Dynamics of Biological Systems

A. I. Kozhanov

Sobolev Institute of Mathematics, SB RAS, Novosibirsk
Full-text PDF (281 kB) Citations (8)
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Abstract: We consider the problem of modeling population dynamics. Mathematically this problem reduces to studying the solvability of a nonlocal boundary value problem for a quasilinear ultraparabolic equation with astronomic time $t$ and biological time $a$ (the age). In the problem under study we prove the existence and uniqueness theorem for regular solutions.
Keywords: population dynamics, nonlinear ultraparabolic equation, nonlocal boundary value problem, existence of solutions, properties of solutions.
Received: 26.09.2008
Revised: 28.08.2009
English version:
Journal of Applied and Industrial Mathematics, 2010, Volume 4, Issue 4, Pages 512–525
DOI: https://doi.org/10.1134/S199047891004006X
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. I. Kozhanov, “On the Solvability of Boundary Value Problems for the Quasilinear Ultraparabolic Equations of Certain Mathematical Models of the Dynamics of Biological Systems”, Sib. Zh. Ind. Mat., 12:4 (2009), 64–78; J. Appl. Industr. Math., 4:4 (2010), 512–525
Citation in format AMSBIB
\Bibitem{Koz09}
\by A.~I.~Kozhanov
\paper On the Solvability of Boundary Value Problems for the Quasilinear Ultraparabolic Equations of Certain Mathematical Models of the Dynamics of Biological Systems
\jour Sib. Zh. Ind. Mat.
\yr 2009
\vol 12
\issue 4
\pages 64--78
\mathnet{http://mi.mathnet.ru/sjim583}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2668812}
\transl
\jour J. Appl. Industr. Math.
\yr 2010
\vol 4
\issue 4
\pages 512--525
\crossref{https://doi.org/10.1134/S199047891004006X}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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