Existence and multiplicity results of homoclinic solutions for the DNLS equations with unbounded potentials
type: Item
instance of: scholarly article
title: Existence and multiplicity results of homoclinic solutions for the DNLS equations with unbounded potentials
zbMATH Open document ID: 1253.39008
DOI: 10.1155/2012/703596
author: Defang Ma
author: Zhan Zhou
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: A class of difference equations which include discrete nonlinear Schrödinger equations as special cases are considered. New sufficient conditions of the existence and multiplicity results of homoclinic solutions for the difference equations are obtained by making use of the mountain pass theorem and the fountain theorem, respectively. Recent results in the literature are generalized and greatly improved.
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 6116437
zbMATH Keywords: difference equations
zbMATH Keywords: discrete nonlinear Schrödinger equation
zbMATH Keywords: existence
zbMATH Keywords: multiplicity
zbMATH Keywords: homoclinic solutions
zbMATH Keywords: mountain pass theorem
zbMATH Keywords: fountain theorem
Wikidata QID: Q58696613
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/703596
OpenAlex ID: W2151900472
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description: scientific article; zbMATH DE number 6116437