| 时间测度链上三点边值问题两个正解的存在性 |
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| 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. |
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| 作者姓名： | 魏嘉 王静 |
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| 作者单位： | 1.兰州文理学院 |
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| 基金项目： | 基于工程背景的高阶共振边值问题研究;基于工程背景的动力系统边值问题研究 |
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| 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rn rn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.
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| 关 键 词： | 正解 |
| 收稿时间： | 2016-01-04 |
| 修稿时间： | 2016-10-24 |
The Existence of two Positive Solutions to Three-point Boundary Value Problem on Time Scales |
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| 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. |
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| 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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| Keywords: | positive solution |
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