Xia Liu, Tao Zhou, Haiping Shi
Abstract:
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.
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Xia Liu Oriental Science and Technology College Hunan Agricultural University Changsha 410128, China email: xia991002@163.com |
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Tao Zhou School of Business Administration South China University of Technology Guangzhou 510640, China email: zhoutaoscut@hotmail.com |
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Haiping Shi Modern Business and Management Department Guangdong Construction Polytechnic Guangzhou 510440, China email: shp7971@163.com |
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