Multiple Heteroclinic solutions of bilateral difference systems with Laplacian operators

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• 作者：Yuji Liu (1)
  Shengping Chen (1)
  
  1. Department of Mathematics ; Guangdong University of Finance and Economics ; Guangzhou ; 510000 ; People鈥檚 Republic of China
  
• 关键词：Laplacian operator ; Bilateral difference system ; Heteroclinic solution ; Fixed point theorem ; 34B10 ; 34B15 ; 35B10
• 刊名：Mathematical Sciences
• 出版年：2014
• 出版时间：September 2014
• 年：2014
• 卷：8
• 期：2
• 全文大小：323 KB
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• 刊物主题：Applications of Mathematics;
• 出版者：Springer Berlin Heidelberg
• ISSN：2251-7456

文摘

Sufficient conditions guaranteeing the existence of three Heteroclinic solutions of a class of bilateral difference systems are established using a fixed point theorem. It is the purpose of this paper to show that the approach to get Heteroclinic solutions of BVPs using multi-fixed-point theorems can be extended to treat the bilateral difference systems with the nonlinear operators \(x\rightarrow \Delta [p\phi (\Delta x)]\) and \(y\rightarrow \Delta [q\psi (\Delta y)]\) .