奇异二阶三点边值问题的正解

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基金项目: 江苏省教育基金资助项目

Positive Solutions to a Singular Second Order Three-Point Boundary Value Problem

1.
Department of Mathematics, Harbin Institute of Technology, Harbin 150001, P R China;
2.
Insitute of Mathematics, Jilin University, Changchun 130012, P R China;
3.
Department of Applied Mathematics, Zhejiang University, Hangzhou 312000, P R China

摘要: 应用锥中的不动点定理研究奇异二阶三点边值问题的正解的存在性。采用一种构造Green函数的方法为出发点,利用分段定义算子的手法讨论更一般的奇异二阶三点边值问题。得到了一个正解的存在性定理。其中的非线性项可以是变号的。
- 正解 /
- 边值问题 /
- 存在性
Abstract: A fixed point theorem is used to study a singular second order three-point boundary value problem. The problem is more general. Combining the method of constructing Green functions with operators defined piecewise, the existence result of positive solutions to a singular second order three-point boundary value probelm is established. The nonlinearity can be allowed to change sign.
- positive solution /
- boundary value problem /
- existence

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