Xia Liu, Tao Zhou, Haiping Shi
By using critical point theory, we prove the existence of a nontrivial homoclinic orbit for a class of nonlinear functional difference equations. Our conditions on the nonlinear term do not need to satisfy the well-known global Ambrosetti-Rabinowitz superquadratic condition.
Submitted October 3, 2016. Published December 10, 2016.
Math Subject Classifications: 34C37, 37J45, 39A12, 47J30, 58E05.
Key Words: Homoclinic orbit; difference equation; critical point theory.
Show me the PDF file (224 KB), TEX file for this article.
| Xia Liu |
Oriental Science and Technology College
Hunan Agricultural University
Changsha 410128, China
| Tao Zhou |
School of Business Administration
South China University of Technology
Guangzhou 510640, China
| Haiping Shi |
Modern Business and Management Department
Guangdong Construction Polytechnic
Guangzhou 510440, China
Return to the EJDE web page