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时间模上一阶非线性边值问题的三个正解 被引量:3

Existence of Positive Solutions to Nonlinear First-order Boundary Value Problems on Time Scales
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摘要 运用Legget-Williams不动点定理,在锥上讨论一阶非线性两点边值问题至少有三个正解的存在性问题. In this paper,by means of the Legget-Williams fixed point theorems in cones,we study the existence of at least three positive solutions of a nonlinear second-order boundary value problem on time scales.
作者 张英 乔世东
出处 《山西大同大学学报(自然科学版)》 2010年第5期1-2,19,共3页 Journal of Shanxi Datong 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5

  • 1Sun J P, Li W T. Positive Solutions for System of Nonlinear First- Order PBVPs on Time Seales[J].Nonlinear Anal 2005, 62:131-139.
  • 2Jian Ping Sun. Twin Positive Solutions of Nonlinear First- Order Boundary Value Problems on Time Scales [J]. Nonlinear Anal., 2008, 68: 1754-1758.
  • 3Ismail Yaslan. Existence of Positive Solutions for Nonlinear Three-point Boundary Value Problems on Time Scales[J]. J Comput Appl Math, 2007, 206 : 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.
  • 5Jian Ping Sun, Wan-Tong Li. Existence of solutions to nonlinear first--order PBVPs on time scales[J]. Nonlinear Anal, 2007, 67: 883-888.

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