Existence and uniqueness of solutions for fourth-order periodic boundary value problems under two-parameter nonresonance conditions

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• 作者：He Yang (1)
  Yue Liang (2)
  Pengyu Chen (1)
  
• 关键词：existence ; uniqueness ; two ; parameter nonresonance condition ; equivalent norm
• 刊名：Boundary Value Problems
• 出版年：2013
• 出版时间：December 2013
• 年：2013
• 卷：2013
• 期：1
• 全文大小：174KB
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• 作者单位：He Yang (1)
  Yue Liang (2)
  Pengyu Chen (1)
  
  1. Department of Mathematics, Northwest Normal University, Lanzhou, 730070, People鈥檚 Republic of China
  2. Science College, Gansu Agricultural University, Lanzhou, 730070, People鈥檚 Republic of China
  
• ISSN：1687-2770

文摘

This paper deals with the existence and uniqueness of solutions of the fourth-order periodic boundary value problem where is continuous. Under two-parameter nonresonance conditions described by rectangle and ellipse, some existence and uniqueness results are obtained by using fixed point theorems. These results improve and extend some existing results. MSC: 34B15.