Open Access
2014 Homoclinic Solutions for a Class of Nonlinear Difference Equations
Ali Mai, Zhan Zhou
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/749678

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.

Citation

Download Citation

Ali Mai. Zhan Zhou. "Homoclinic Solutions for a Class of Nonlinear Difference Equations." J. Appl. Math. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/749678

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07010739
MathSciNet: MR3173336
Digital Object Identifier: 10.1155/2014/749678

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
Back to Top