
doi: 10.1002/mma.4111
An asymptotic expansion of the contrasting structure‐like solution of the generalized Kolmogorov–Petrovskii–Piskunov equation is presented. A generalized maximum principle for the pseudoparabolic equations is developed. This, together with the generalized differential inequalities method, allows to prove the consistence and convergence of the asymptotic series method. Copyright © 2016 John Wiley & Sons, Ltd.
nonlinear differential equations, generalized Kolmogorov-Petrovskii-Piskunov equation, differential inequalities, Asymptotic expansions of solutions to ordinary differential equations, Ultraparabolic equations, pseudoparabolic equations, etc., Asymptotic expansions of solutions to PDEs, Maximum principles in context of PDEs, contrasting structure
nonlinear differential equations, generalized Kolmogorov-Petrovskii-Piskunov equation, differential inequalities, Asymptotic expansions of solutions to ordinary differential equations, Ultraparabolic equations, pseudoparabolic equations, etc., Asymptotic expansions of solutions to PDEs, Maximum principles in context of PDEs, contrasting structure
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