ASYMPTOTICS FOR NONLINEAR NONLOCAL EQUATIONS ON A HALF-LINE

Autor:	Elena I. Kaikina, Pavel I. Naumkin, Rosa E. Cardiel
Rok vydání:	2006
Předmět:	Nonlinear system Applied Mathematics General Mathematics Operator (physics) Mathematical analysis Order (group theory) Inverse Laplace transform Boundary value problem Representation (mathematics) Value (mathematics) Term (time) Mathematics
Zdroj:	Communications in Contemporary Mathematics. :189-217
ISSN:	1793-6683 0219-1997
DOI:	10.1142/s021919970600209x
Popis:	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.
Databáze:	OpenAIRE
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