Existence of periodic solutions of fourth-order nonlinear difference equations

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• 作者：Haiping Shi (1)
  Xia Liu (2) (3)
  Yuanbiao Zhang (4)
  Xiaoqing Deng (5)
  
• 关键词：Existence ; Periodic solutions ; Fourth ; order ; Nonlinear difference equations ; Discrete variational theory ; 39A11
• 刊名：Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
• 出版年：2014
• 出版时间：September 2014
• 年：2014
• 卷：108
• 期：2
• 页码：811-825
• 全文大小：216 KB
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• 作者单位：Haiping Shi (1)
  Xia Liu (2) (3)
  Yuanbiao Zhang (4)
  Xiaoqing Deng (5)
  
  1. Department of Modern Business and Management, Guangdong Construction Vocational Technology Institute, Guangzhou, 510450, China
  2. Oriental Science and Technology College, Hunan Agricultural University, Changsha, 410128, China
  3. Science College, Hunan Agricultural University, Changsha, 410128, China
  4. Packaging Engineering Institute, Jinan University, Zhuhai, 519070, China
  5. School of Mathematics and Statistics, Hunan University of Commerce, Changsha, 410205, China
  
• ISSN：1579-1505

文摘

By making use of the critical point theory, the existence of periodic solutions for fourth-order 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 fourth-order nonlinear difference equations. Results obtained complement the existing one.