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时间模上二阶三-点边值问题的三个正解 被引量:3

EXISTENCE OF THREE POSITIVE SOLUTIONS TO A SECOND ORDER THREE-POINT BOUNDARY VALUE PROBLEMS ON TIME SCALES
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摘要 运用Legget-Williams锥上的不动点定理,讨论时间模上的二阶非线性方程三-点边值问题至少有三个正解的存在性. In this paper, by using fixed point theorems in cones of Legget-Williams, we study the existence of at least three positive solutions of a nonlinear second-order three-point boundary value problem for dynamic equations on time scales.
作者 张英 乔世东
出处 《北京工商大学学报(自然科学版)》 CAS 2009年第5期70-72,共3页 Journal of Beijing Technology and Business University:Natural Science Edition
基金 山西省高校科技研究开发项目(200811043)
关键词 正解 边值问题 不动点定理 时间模 positive solution boundary value problem fixed point theorem time scales cone
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参考文献4

  • 1Anderson D. Solutions to second-order three-point problems on time scales [J]. Differ. Equations Appl, 2002 (8) : 673 - 688.
  • 2He Zhimin. Existence of two Solutions of m-point Boundary Value Problems for Second order Dynamic Equations on Ttime Scales[J]. J. Math. Anal. Appl., 2004, 296 (1): 97-109.
  • 3Ismail Yaslan. Existence of Positive Solutions for Nonlinear Three-point Boundary Value Problems on Time Scales [J]. J. Comput. Appl. Math., 2007, 206(2): 888- 897.
  • 4Legget R W, Williams L R. Multiple Positive Fixed Points of Nonlinear Operators on Ordered Banach Spaces [J]. Indiana Univ. Math., J., 1979, 28. 673-688.

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