ASYMPTOTICS FOR NONLINEAR NONLOCAL EQUATIONS ON A HALF-LINE-Reference-Cited by-同舟云学术

ASYMPTOTICS FOR NONLINEAR NONLOCAL EQUATIONS ON A HALF-LINE

Published:2006-04 Issue:02 Volume:08 Page:189-217
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

CARDIEL ROSA E.¹,KAIKINA ELENA I.²,NAUMKIN PAVEL I.²

Affiliation:

1. Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, AP 2-82, Morelia CP 58040, Michoacán, Mexico

2. Instituto de Matemáticas, UNAM Campus Morelia, AP 61-3 (Xangari), Morelia, CP 58089, Michoacán, Mexico

Abstract

We study the initial-boundary value problem for a general class of nonlinear pseudo-differential equations on a half-line [Formula: see text] where the number M depends on the order of the pseudo-differential operator [Formula: see text] on a half-line. The nonlinear term [Formula: see text] is such that [Formula: see text] as u, v → 0, with ρ, σ > 0. Pseudo-differential operator [Formula: see text] is defined by the inverse Laplace transform. The aim of this paper is to prove the global existence of solutions to the initial-boundary value problem (0.1) and to find the main term of the asymptotic representation of solutions taking into account the influence of inhomogeneous boundary data and a source on the asymptotic properties of solutions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021919970600209X

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