| 二阶脉冲微方程三点边值问题解的存在性 |
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| 作者姓名： | CAI Guo-lan ZHANG Jian-ping GE Wei-gao |
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| 作者单位： | Department of Applied Mathematics，Beijing Institute of Technology，Beijing 100081，China; Department of Mathematics，Kaifeng University，Kaifeng 475001，China |
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| 基金项目： | Supported by the National Natural Science Foundation of China(10371006) |
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| 摘 要： | We study the existence of solutions to the second order three-point boundary value problem: where 0 <η< 1, α∈R, and f : 0, 1]×R×R→R, Ii: R×R→R, Ji : R×R→R(i=1,2,…k) are continuous. Our results is new and different from previous results. In particular, we obtain the Green function of the problem, which makes the problem simpler.
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| 关 键 词： | 二阶脉冲微分方程 三点边值问题 存在性 固定点 |
The Existence of Solutions of Three-point Boundary Value Problems for Second Order Impulsive Differential Equation |
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| CAI Guo-lan,ZHANG Jian-ping,GE Wei-gao.The Existence of Solutions of Three-point Boundary Value Problems for Second Order Impulsive Differential Equation[J].Chinese Quarterly Journal of Mathematics,2005,20(3):247-257. |
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| Authors: | CAI Guo-lan ZHANG Jian-ping GE Wei-gao |
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| Institution: | [1]Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, China [2]Department of Mathematics, Kaifeng University, Kaifeng 475001, China |
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| Abstract: | |
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| Keywords: | impulsive differential equation boundary value problem fixed points cone |
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