Abstract and Applied Analysis

Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials

Defang Ma and Zhan Zhou

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 703596, 15 pages.

Dates
First available in Project Euclid: 28 March 2013

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1364475881

Digital Object Identifier
doi:10.1155/2012/703596

Mathematical Reviews number (MathSciNet)
MR2990997

Zentralblatt MATH identifier
1253.39008

Citation

Ma, Defang; Zhou, Zhan. Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials. Abstr. Appl. Anal. 2012 (2012), Article ID 703596, 15 pages. doi:10.1155/2012/703596. https://projecteuclid.org/euclid.aaa/1364475881


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