魏嘉, 王静. 时间测度链上三点边值问题两个正解的存在性[J]. 华南师范大学学报(自然科学版), 2017, 49(4): 102-105.
引用本文: 魏嘉, 王静. 时间测度链上三点边值问题两个正解的存在性[J]. 华南师范大学学报(自然科学版), 2017, 49(4): 102-105.
The Existence of two Positive Solutions to Three-point Boundary Value Problem on Time Scales[J]. Journal of South China Normal University (Natural Science Edition), 2017, 49(4): 102-105.
Citation: The Existence of two Positive Solutions to Three-point Boundary Value Problem on Time Scales[J]. Journal of South China Normal University (Natural Science Edition), 2017, 49(4): 102-105.

时间测度链上三点边值问题两个正解的存在性

The Existence of two Positive Solutions to Three-point Boundary Value Problem on Time Scales

  • 摘要: 运用锥上的Avery-Henderson不动点定理,研究了时间测度链上一类非线性3点边值问题 至少2个正解的存在性, 其中, 表示时间测度链, , .并给出了与之相对应的线性3点边值问题解的一些性质,举例证明了所得结论的正确性.

     

    Abstract: Existence of at least two positive solutions to a nonlinear three-point boundary value problem on time scales is considered, and the main tool is well-known Avery-Henderson fixed-point theorem in cones. The solution and some of its properties of the linear three-point boundary value problem related to the nonlinear boundary value problem are provided. At last, an example is given to demonstrate the result of this study.

     

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