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Periodic solutions for fourth-order nonlinear functional difference equations |
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| Authors: | Xia Liu Yuanbiao Zhang Haiping Shi Xiaoqing Deng |
| Affiliation: | 1. Oriental Science and Technology College, Hunan Agricultural University, Changsha 410128, China Science College, Hunan Agricultural University, Changsha 410128, China Correspondence to: Xia Liu, Oriental Science and Technology College, Hunan Agricultural University, Changsha 410128, China. E-mail: xia991002@163.com;2. Packaging Engineering Institute, Jinan University, Zhuhai 519070, China;3. Modern Business and Management Department, Guangdong Construction Vocational Technology Institute, Guangzhou 510450, China;4. School of Mathematics and Statistics, Hunan University of Commerce, Changsha 410205, China |
| Abstract: | By using the critical point method, some new criteria are obtained for the existence and multiplicity of periodic solutions for fourth-order nonlinear functional difference equations. The proof is based on the linking theorem in combination with variational technique. Recent results in the literature are generalized and significantly improved. Copyright © 2013 John Wiley & Sons, Ltd. |
| Keywords: | periodic solutions fourth-order nonlinear functional difference equations discrete variational theory subjclass39A23 |