Multiple positive solutions of nonlinear third-order boundary value problems with integral boundary conditions on time scales

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• 作者：Yongkun Li (1)
  Lingyan Wang (1)
  
  1. Department of Mathematics ; Yunnan University ; Kunming ; Yunnan ; 650091 ; People鈥檚 Republic of China
  
• 关键词：time scales ; fixed point theorem ; integral boundary conditions ; multiple positive solutions ; cone
• 刊名：Advances in Difference Equations
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,245 KB
• 参考文献：1. Timoshenko, S (1961) Theory of Elastic Stability. McGraw-Hill, New York
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• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

In this paper, we consider a class of nonlinear third-order boundary value problems with integral boundary conditions on time scales. By applying a generalization of the Leggett-Williams fixed point theorem, we establish the existence of at least three positive solutions. The discussed problem involves both an increasing and positive homomorphism, which generalizes the p-Laplacian operator. As an application, we give an example to illustrate our results.