Existence of Periodic Solutions for a 2 \(n\) th-Order Difference Equation Involving 详细信息    查看全文

• 作者：Xia Liu ; Yuanbiao Zhang ; Haiping Shi…
• 关键词：Periodic solutions ; 2 $$n$$ n th ; order ; Nonlinear difference equation ; Discrete variational theory ; $$p$$ p ; Laplacian ; 39A23
• 刊名：Bulletin of the Malaysian Mathematical Sciences Society
• 出版年：2015
• 出版时间：July 2015
• 年：2015
• 卷：38
• 期：3
• 页码：1107-1125
• 全文大小：508 KB
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• 作者单位：Xia Liu (1) (2)
  Yuanbiao Zhang (3)
  Haiping Shi (4)
  Xiaoqing Deng (5)
  
  1. Oriental Science and Technology College, Hunan Agricultural University, Changsha, 410128, China
  2. Science College, Hunan Agricultural University, Changsha, 410128, China
  3. Packaging Engineering Institute, Jinan University, Zhuhai, 519070, China
  4. Modern Business and Management Department, Guangdong Construction Vocational Technology Institute, Guangzhou, 510450, China
  5. School of Mathematics and Statistics, Hunan University of Commerce, Changsha, 410205, China
  
• 刊物类别：Mathematics, general; Applications of Mathematics;
• 刊物主题：Mathematics, general; Applications of Mathematics;
• 出版者：Springer Singapore
• ISSN：2180-4206

文摘

Using the critical point theory, the existence of periodic solutions for a 2\(n\)th-order nonlinear difference equation containing both advance and retardation involving \(p\)-Laplacian is obtained. The main approaches used in our paper are variational techniques and the Saddle Point Theorem. The problem is to solve the existence of periodic solutions for a 2\(n\)th-order \(p\)-Laplacian difference equation. The obtained results successfully generalize and complement the existing ones. Keywords Periodic solutions 2\(n\)th-order Nonlinear difference equation Discrete variational theory \(p\)-Laplacian