On the solution of boundary-value problems of Kolmogorov-Petrovskii-Piskunov type |
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| Authors: | B I Suleimanov |
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| Institution: | 1. Institute of Mathematics with Computer Center, Ural Branch of the Russian Academy of Sciences, Ural, Russia
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| 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. |
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