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JOURNALS // Contemporary Mathematics. Fundamental Directions // Archive

CMFD, 2019 Volume 65, Issue 4, Pages 683–699 (Mi cmfd396)

This article is cited in 3 papers

On initial-boundary value problem on semiaxis for generalized Kawahara equation

A. V. Faminskii, E. V. Martynov

Peoples' Friendship University of Russia (RUDN University), Moscow, Russia

Abstract: In this paper, we consider initial-boundary value problem on semiaxis for generalized Kawahara equation with higher-order nonlinearity. We obtain the result on existence and uniqueness of the global solution. Also, if the equation contains the absorbing term vanishing at infinity, we prove that the solution decays at large time values.

UDC: 517.958

DOI: 10.22363/2413-3639-2019-65-4-683-699



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