Homoclinic solutions in periodic partial difference equations
Abstract By using critical point theory in combination with periodic approximations, we obtain novel sufficient conditions for the existence of nontrivial homoclinic solutions for a class of periodic partial difference equations with sign-changing mixed nonlinearities. Notably, in certain specific cases, a necessary and sufficient condition is also established.
Authors
- Peng Mei (ORCID: https://orcid.org/0000-0002-7219-740X)
- Jianshe Yu (ORCID: https://orcid.org/0000-0002-7287-9726)
- Zhan Zhou (ORCID: https://orcid.org/0000-0001-5114-1418)
Institutions
- Guangdong University Of Finances and Economics (CN)
- Guangzhou University (CN)
- Guangdong University of Finance (CN)
Publication Details
- Journal
- Advances in Nonlinear Analysis
- Published
- 2025-01-01
- DOI
- https://doi.org/10.1515/anona-2025-0072
- Citations
- 1
- Primary Topic
- Nonlinear Photonic Systems
- Type
- article
- Field-Weighted Citation Impact
- 1.32