期刊文献+

二阶差分方程边值问题解的存在性 被引量:1

Existence of Solutions for Boundary Value Problems of Second-order Difference Equations
在线阅读 下载PDF
导出
摘要 利用变分方法与临界点理论,研究了一类非线性二阶差分方程两点边值问题解的存在性,得到了若干关于该问题解的存在性的新的充分性条件。该讨论丰富了此类研究的结果。 In this paper,we employed the critical point theory to deal with the existence of solutions for some two-point boundary value problems of second-order nonlinear difference equations and obtain several novel sufficient conditions for the existence of the solution for involved problem. Through our investigation,the research results of this kind were enriched.
出处 《太原理工大学学报》 CAS 北大核心 2011年第4期447-450,共4页 Journal of Taiyuan University of Technology
关键词 差分方程 边值问题 临界点 difference equations boundary value problems critical point
  • 相关文献

参考文献8

  • 1Jiang Liqun,Zhou Zhan. Existence of nontrivial solutions for discrete nonlinear two point boundary value problems[J]. Applied Mathematics and Computation, 2006,180 : 318-329.
  • 2Bai Dingyong,Xu Yuangtong. Nontrivial solutions of boundary value problems of second-order difference equations[J]. J Math Anal Appl, 2007,326 : 297-302.
  • 3Yang Yang, Zhang Jihui. Existence results for a nonlinear system with a parameter[J]. J Math Anal Appl, 2008,340:658-668.
  • 4Jiang Liqun,Zhan Zhou. Multiple nontrivial solutions for a class of higher dimensional discrete boundary value problems[J].Applied Mathematics and Computation,2008,203:30-38.
  • 5Yang Yang,Zhang Jihui. Existence and multiple solutions for a nonlinear system with a parameter[J]. Nonlinear Analysis 2009,70 : 2542-2548.
  • 6Yang Yang, Zhang Jihui. Existence of solutions for some discrete boundary value problems with a parameter[J]. Applied Mathematics and Computation, 2009,211 :293-302.
  • 7Rabinowitz P H. Some Minimax Theorems and Applications to Nonlinear Partial Differential Equations: A Collection of Pa pers in Honor of Erich N Rothe[M]. Academic Press, 1978.. 161-177.
  • 8Liu Jinsheng,Wang Shuli,Zhang Jianming. Multiple solutions for boundary value problems of second-order difference equa tions with resonance[J]. J Math Anal Appl, 2011,374 .. 187-196.

同被引文献2

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部