期刊文献+

一类二阶积—微分方程两点边值问题解的存在性

Existence of Solution for a Class of Two-Point Boundary Value Problem of Second Order Integal-differential Equations
下载PDF
导出
摘要 讨论了一类二阶积—微分方程两点边值问题解的存在性,利用上下解方法和Schauder不动点定理在较弱的条件下得到了方程解存在性的充分条件。 This paper discusses the existence of solution for a class of two-point boundary value problem of second order integral-differential equations. By using lower and upper solutions method and Schander fixed point theorem, it obtains the sufficient conditions for the existence of solution under weaker conditions.
作者 倪晋波 高娟
出处 《长春大学学报》 2012年第4期416-418,422,共4页 Journal of Changchun University
基金 安徽省优秀青年人才基金项目(2012SQRL051)
关键词 积-微分方程 两点边值 上下解 SCHAUDER不动点定理 integral-differential equation two-point boundary value upper and lower solutions Schander fixed-point theorem
  • 相关文献

参考文献6

二级参考文献32

  • 1孙经先.关于非线性泛函分析序集一般原理的研究[J].徐州师范大学学报(自然科学版),2005,23(1):1-6. 被引量:12
  • 2王全义.具状态依赖时滞的泛函微分方程周期解[J].华侨大学学报(自然科学版),2007,28(2):212-215. 被引量:2
  • 3ERBE L H, HU S,WANG H. Multiple positive solutions of some boundary value problems[J]. J Math Anal Appl, 1994,184 : 640-648.
  • 4LIU Z, LI F. Multiple positive solutions of nonlinear two-point boundary value problem[J]. J Math Anal Appl, 1996, 203 : 610-625.
  • 5LI F Y, ZHANG Y J. Multiple symmetric nonnegative solutions of second-order ordinary differential equations[J]. Appl Math Lett, 2004,17 : 261-267.
  • 6SUN J P. Three positive solutions for second-order Neumann boundary value probtems[J]. Appl Math Lett, 2004, 17 : 1079-1084.
  • 7LI F Y, LIANG Z P, ZHANG Q. Existence of solutions to a class of nonlinear second order two-point boundary value problems[J]. J Math Anal Appl, 2005,312 : 357-373.
  • 8LEGGETF W,WILLIAMS L R. Multiple positive fixed points of nonlinear operators on ordered Banach spaces[J]. Indiana Univ Math J, 1979,28: 673-688.
  • 9GAINES RE, MAWHIN JL. Coincidence degree, and nonlinear differential equations[ M]. New York: Springer-Verlag,1977.40.
  • 10GYORI I, LADAS G. Positive solutions of integro-differential equations with unbounded delay[J]. Integral Equations Appl., 1992(4):377 - 390.

共引文献19

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