Homoclinic Solutions for a Class of Nonlinear Difference Equations

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:WileyJournal:Journal of Applied Mathematics, volume 2,014, pages 1-8 (issn: 1110-757X, eissn: 1687-0042,

Copyright policy )

Authors: Mai, Ali; Zhou, Zhan;

doi: 10.1155/2014/749678

Homoclinic Solutions for a Class of Nonlinear Difference Equations

- Summary
- Subjects
- Metrics

Abstract

We prove the existence of homoclinic solutions of a class of nonlinear difference equations with superlinear nonlinearity by using the generalized Nehari manifold approach. For the case where the nonlinearity is odd, we obtain infinitely many homoclinic solutions of the equations. Recent results in the literature are generalized and improved.

Related Organizations

Guangzhou University
China (People's Republic of)
Yuncheng University
China (People's Republic of)

Keywords

QA1-939, Partial difference equations, Discrete version of topics in analysis, Mathematics

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	1
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average