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

Author

Martin Bohner, Missouri University of Science and TechnologyFollow
Giuseppe Caristi
Shapour Heidarkhani
Shahin Moradi

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.

Recommended Citation

M. Bohner et al., "Existence of at Least One Homoclinic Solution for a Nonlinear Second-Order Difference Equation," International Journal of Nonlinear Sciences and Numerical Simulation, vol. 20, no. 3-4, De Gruyter, May 2019.

The definitive version is available at https://doi.org/10.1515/ijnsns-2018-0223

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