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

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.

Publication Date

26 May 2019

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