期刊文献+

一类含间断项的二阶三点边值问题解的存在性

Existence of Solution for a Class of Two-order Three-point Boundary Value Problems with Discontinuous Terms
在线阅读 下载PDF
导出
摘要 利用上下解方法,证明了一类含间断项的二阶三点边值问题最大连续解和最小连续解的存在性,并完善和证明了已有的某些结果. By using the upper and lower solution method, the existence of maximal and minimal coutinuous solutions for a class of two-order three-point boundary value problems with discontinuous terms is proved, and some well-known results are improved and proved .
出处 《徐州师范大学学报(自然科学版)》 CAS 2008年第3期38-42,共5页 Journal of Xuzhou Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10671167)
关键词 三点边值问题 增算子 不动点 相对弱紧 three-point boundary value problem increasing operator fixed point relatively weakly compact
  • 相关文献

参考文献10

二级参考文献24

  • 1GUO DAJUN.INITIAL VALUE PROBLEMS FOR SECOND ORDER IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS IN BANACH SPACES[J].Chinese Annals of Mathematics,Series B,1997,18(4):439-448. 被引量:28
  • 2裴明鹤.四阶非线性常微分方程非线性两点边值问题解的存在唯一性[J].高校应用数学学报(A辑),1995,10(3):285-294. 被引量:1
  • 3Guo D,Lakshmikantham V,Liu X.Nonlinear Integral Equations in Abstract Spaces[M]. The Netherlands: KluwerAcademic,1996.189-295.
  • 4Guo D,Lakshmikantham V. Nonlinear Problems in Abstract Cones[M]. Boston: AcademicPress,1988.2-58.
  • 5Ladde G S,Lakshmikantham V,Vatsala A S. Monotone Iterative Technique for NonlinearDifferential Equations[M]. Boston: Pitman, 1985.10-25.
  • 6Du S W,Lakshmikantham V. Monotone iterative technique for differential equations ina Banach spaces[J]. J Math Anal Appl, 1982, 87(2):454.
  • 7Chen Y Z. Fixed points of T-monotone operators[J]. NonlinearAnalysis,1995,24(8):1281.
  • 8Syau Y. Some fixed point theorems of T-monotone operators[J]. J Math ApplAnal,1997,205(2):325.
  • 9Liu X,Wu C. Existence of coupled quasi-fixed points for mixed monotone operatorsand its application to the discontinuous integral equations[J]. Applied Mathematics andComputation,2000,112(2-3):171.
  • 10Du Y.Fixed points of increasing operators in ordered Banach spaces andapplications[J].Appl Anal,1990,38(1):1.

共引文献30

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