Nonexistence and existence of solutions for a fourth-order discrete mixed boundary value problem

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• 作者：XIA LIU (1) (2)
  HAIPING SHI (3)
  YUANBIAO ZHANG (4)
  
• 关键词：Nonexistence and existence ; fourth ; order ; mixed boundary value problem ; Mountain Pass lemma ; discrete variational theory ; 39A10
• 刊名：Proceedings Mathematical Sciences
• 出版年：2014
• 出版时间：May 2014
• 年：2014
• 卷：124
• 期：2
• 页码：179-191
• 全文大小：
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• 作者单位：XIA LIU (1) (2)
  HAIPING SHI (3)
  YUANBIAO ZHANG (4)
  
  1. Oriental Science and Technology College, Hunan Agricultural University, Changsha, 410128, China
  2. Science College, Hunan Agricultural University, Changsha, 410128, China
  3. Modern Business and Management Department, Guangdong Construction Vocational Technology, Guangzhou, 510450, China
  4. Packaging Engineering Institute, Jinan University, Zhuhai, 519070, China
  
• ISSN：0973-7685

文摘

In this paper, a fourth-order nonlinear difference equation is considered. By using the critical point theory, we establish various sets of sufficient conditions of the nonexistence and existence of solutions for mixed boundary value problem and give some new results. Results obtained generalize and complement the existing ones.