Work

Homoclinic solutions in periodic partial difference equations

Year: 2025

Type: article

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.

Source: Advances in Nonlinear Analysis

DOI: 10.1515/anona-2025-0072

Authors: Peng Mei, Zhan Zhou, Jianshe Yu

Institutions: Guangdong University Of Finances and Economics, Guangzhou University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $1,469

OpenAlex ID: W4409506659

FWCI: 7.543

Cites: 31

Cited by: 4

Related to: 10