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2014 Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation
Liu Yang
Abstr. Appl. Anal. 2014: 1-5 (2014). DOI: 10.1155/2014/126435

Abstract

In this paper, we investigate a class of nonperiodic fourth-order differential equations with general perturbation. By using the mountain pass theorem and the Ekeland variational principle, we obtain that such equations possess two homoclinic solutions. Recent results in the literature are generalized and significantly improved.

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Liu Yang. "Multiplicity of Homoclinic Solutions for a Class of Nonperiodic Fourth-Order Differential Equations with General Perturbation." Abstr. Appl. Anal. 2014 1 - 5, 2014. https://doi.org/10.1155/2014/126435

Information

Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 07021760
MathSciNet: MR3232819
Digital Object Identifier: 10.1155/2014/126435

Rights: Copyright © 2014 Hindawi

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