Singularly perturbed pseudoparabolic equation | Zendy

Bykov Alexey | Zendy; Panin Alexander | Zendy; Sharlo Alena | Zendy

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Singularly perturbed pseudoparabolic equation

Author(s) -

Bykov Alexey,

Panin Alexander,

Sharlo Alena

Publication year - 2017

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.4111

Subject(s) - mathematics , convergence (economics) , asymptotic expansion , series (stratigraphy) , partial differential equation , differential equation , mathematical analysis , calculus (dental) , paleontology , economics , biology , economic growth , medicine , dentistry

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.

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