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Matematicheskie Zametki, 2008, Volume 83, Issue 4, Pages 618–628
DOI: https://doi.org/10.4213/mzm4580 (Mi mzm4580) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Solution of Boundary-Value Problems of Kolmogorov–Petrovskii–Piskunov Type

B. I. Suleimanov

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/mzm4580
Abstract: We describe a number of properties of solutions of boundary-value problems for nonlinear ordinary differential equations of the same type as those studied by Kolmogorov, Petrovskii, and Piskunov in their well-known paper on waves described by the parabolic equation. We construct and justify the asymptotics of such solutions for large values of the modulus of the independent variable.
Keywords: nonlinear ordinary differential equation, boundary-value problem, nonlinear parabolic equation, asymptotic expansion.
Received: 30.10.2006
English version:
Mathematical Notes, 2008, Volume 83, Issue 4, Pages 564–572
DOI: https://doi.org/10.1134/S0001434608030309
Bibliographic databases:
UDC: 517.928
Language: Russian
Citation: B. I. Suleimanov, “On the Solution of Boundary-Value Problems of Kolmogorov–Petrovskii–Piskunov Type”, Mat. Zametki, 83:4 (2008), 618–628; Math. Notes, 83:4 (2008), 564–572
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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