Existence of Periodic Solutions for a Class of Nonlinear Difference Equations

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• 作者：Xia Liu (1) (2)
  Yuanbiao Zhang (3)
  Haiping Shi (4)
  
  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
  
• 关键词：Existence ; Periodic solutions ; Nonlinear ; Difference equations ; Discrete variational theory ; 34C25 ; 39A23
• 刊名：Qualitative Theory of Dynamical Systems
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：14
• 期：1
• 页码：51-69
• 全文大小：272 KB
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• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Mathematics
  Dynamical Systems and Ergodic Theory
  Difference and Functional Equations
  
• 出版者：Birkh盲user Basel
• ISSN：1662-3592

文摘

By making use of the critical point theory, the existence of periodic solutions for a class of nonlinear difference equations is obtained. The proof is based on the saddle point theorem in combination with variational technique. The problem is to solve the existence of periodic solutions of a class of nonlinear difference equations. Results obtained complement the existing one.