期刊文献+

Banach空间半直线上微分方程积分边值问题解的存在性

Existence of Solution for Differential Equations with Integral Boundary Conditions on Half-line in Banach Spaces
下载PDF
导出
摘要 利用Mnch不动点定理、非紧性测度理论研究了抽象空间半直线上一类非线性微分方程积分边值问题解的存在性. This paper investigates the existence of solution for second-order boundary value problems with integral boundary conditions of nonlinear impulsive differential equations on half-line in Banaeh spaces. The methods are based upon the MSnch fixed point theorem and the measure of noncompactness theory.
出处 《曲阜师范大学学报(自然科学版)》 CAS 2012年第3期1-6,共6页 Journal of Qufu Normal University(Natural Science)
基金 山东省自然科学基金资助项目(ZR2010AM005)
关键词 积分边值 非紧性测度 不动点定理 integral boundary conditions measure of noncompactness fixed point theorem
  • 相关文献

参考文献3

二级参考文献11

  • 1李福义,梁展东.凹(凸)算子的不动点定理及其应用[J].系统科学与数学,1994,14(4):355-360. 被引量:48
  • 2郭大钓.非线性泛函分析(第二版).济南:山东科学技术出版社,2001.
  • 3Guo Dajun, Lakshmikantham V. Nonlinear Problems in Abstract Cones. Academic Press, Boston, 1988.
  • 4Deimling Klaus. Nonlinear Functional Analysis. Springer-Verlag, Berlin Heidelberg, 1985.
  • 5Guo Dajun. Positive fixed points and eigenvectors of noncompact decreasing operators with applications to nonlinear integral equations. Chin. Ann. of Math. (Ser. B), 1993, 4: 419-426.
  • 6Li Ke, Liang Jin, Xiao Tijun. A fixed point theorem for convex and decreasing operators. Nonlinear Analysis, 2005, 63: e209-e216.
  • 7Li Ke, Liang Jin, Xiao Tijun. Positive fixed points for nonlinear operators. Computers and Mathematics with Applications, 2005, 50:1569-1578.
  • 8GUO Da-jun. Boundary value problems for impulsive integro-differential equations on unbounded domains in a Banach space[J]. Applied Mathematics and Computatoin, 1999, 99: 1-15.
  • 9GUO Da-jun, Lakshmikansham V, LIU Xin-zhi. Nonlinear Integral Equations in Abstract Spaces[M].Kluwer Academic Publishers, Dordrecht, 1996.
  • 10张志涛.一类非紧减算子的不动点定理及其应用[J].系统科学与数学,1998,18(4):422-426. 被引量:21

共引文献32

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