Premium
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.