Homoclinic orbits of nonlinear functional difference equations
type: Item
instance of: scholarly article
title: Homoclinic orbits of nonlinear functional difference equations
zbMATH Open document ID: 1185.39013
published in: Acta Applicandae Mathematicae
publication date: 2009-05-06T00:00:00Z
review text: The author employs the critical point theory to obtain the existence of a nontrivial homoclinic orbit which decays exponentially at infinity for nonlinear difference equations containing both advance and retardation without any periodic assumptions. Moreover, if the nonlinearity is an odd function, the existence of an unbounded sequence of nontrivial homoclinic orbits which decay exponentially at infinity is also presented.
reviewed by: Shangjiang Guo
Mathematics Subject Classification ID: 39A33
Mathematics Subject Classification ID: 39A22
Mathematics Subject Classification ID: 37C29
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 5551270
zbMATH Keywords: homoclinic orbits
zbMATH Keywords: nonlinear functional difference equations
zbMATH Keywords: variational structure
zbMATH Keywords: critical point theory
author: Haiping Shi
MaRDI profile type: Publication
full work available at URL: s10440-008-9331-2
OpenAlex ID: W2133730354
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DOI: 10.1007/S10440-008-9331-2
description: scientific article; zbMATH DE number 5551270