期刊文献+

一类具共振条件广义多点边值问题 被引量:1

A Generalized Multi-point Boundary Value Problems at Resonance
原文传递
导出
摘要 本文考虑了一类二阶非线性微分方程广义多点边值问题.利用Mawhin的重合度定理得到了一个存在性定理.同时给出一个例子说明结果的可行性. A eneralized multi-point boundary value problems of second order nonlinear differential equation is considered in this paper. With the help of coincidence theorem due to Mawhin, an existence theorem is obtained. Also, an example is given to illustrate existence results.
出处 《应用数学学报》 CSCD 北大核心 2009年第2期277-284,共8页 Acta Mathematicae Applicatae Sinica
基金 河南省自然科学基金资助项目(072300410070) 周口师范学院青年科研基金重点项目(2008035).
关键词 共振 边值问题 重合度定理 FREDHOLM算子 resonance boundary value problems concidence degree theorem Fredholm operator
  • 相关文献

参考文献9

  • 1Feng W, Webb J R L. Solvability of M-point Boundary Value Problems With Nonlinear Growth. J. Math. Anal. Appl., 1997, 212:467-480
  • 2Feng W, Webb J R L. Solvability of Three Point Boundary Value Problems at Resonance. Nonlinear Anal., 1997, 30:3227-3238
  • 3Ma R. Multiplicity Results for a Three-point Boundary Value Problem at Resonance. Nonlinear Anal., 2003, 53:777-789
  • 4An Y. Existence of Solutions for a Three-point Boundary Value Problem at Resonance. Nonlinear Analysis, 2006, 65:1633-1643
  • 5Liu B. A Note on a Nonlocal Boundary Value Problems. Appl. Math. Comput., 2004, 154:871-880
  • 6Liu B. Solvability of Multi-point Boundary Value Problem at Resonance-Part Ⅳ. Appl. Math. Comput., 2003, 143:275-299
  • 7Liu B, Zhao Z L. A Note on Multi-point Boundary Value Problems. Nonlinear Analysis, 2007, 67: 2680-2689
  • 8Mawhin J. Topological Degree and Boundary Value Problems for Nonlinear Equations. In: P. M. Fitzpertric, M. Martelli, Mawhin J., Nussbaum R.(Eds.), Topological Methods for Ordinary Differential Equation, Lecture Notes in Mathematics, Vol. 1537, Belin: Springer-Verlag, 1991
  • 9Mawhin J. Topological Degree Methods in Nonlinear Boundary Value Problems. In: NSFCBMS Regional Conference Series in Mathematics, Amer. Math. Soc., Providence, RI, 1979

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