Article
Existence of at Least One Homoclinic Solution for a Nonlinear Second-Order Difference Equation
International Journal of Nonlinear Sciences and Numerical Simulation
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
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2019 De Gruyter, All rights reserved.
Publication Date
5-26-2019
Publication Date
26 May 2019
Disciplines
Citation Information
Martin Bohner, Giuseppe Caristi, Shapour Heidarkhani and Shahin Moradi. "Existence of at Least One Homoclinic Solution for a Nonlinear Second-Order Difference Equation" International Journal of Nonlinear Sciences and Numerical Simulation Vol. 20 Iss. 3-4 (2019) ISSN: 1565-1339; 2191-0294 Available at: http://works.bepress.com/martin-bohner/155/