Title

Existence of at Least One Homoclinic Solution for a Nonlinear Second-Order Difference Equation

Abstract

This paper presents sufficient conditions for the existence of at least one homoclinic solution for a nonlinear second-order difference equation with p-Laplacian. Our technical approach is based on variational methods. An example is offered to demonstrate the applicability of our main results.

Department(s)

Mathematics and Statistics

Comments

Article in Press

Keywords and Phrases

Difference equations; Discrete p-Laplacian; Homoclinic solution; Variational methods

International Standard Serial Number (ISSN)

1565-1339; 2191-0294

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2019 De Gruyter, All rights reserved.

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