| 二阶脉冲微分方程边值问题解的存在性 |
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| 引用本文： | 杜瑁.二阶脉冲微分方程边值问题解的存在性[J].生物数学学报,2012(2):311-321. |
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| 作者姓名： | 杜瑁 |
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| 作者单位： | 淮南师范学院数学与计算科学系,安徽淮南232001 |
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| 基金项目： | 安徽省高校省级自然科学研究项目（KJ20108199） |
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| 摘 要： | 利用Leray-Schauder不动点理论研究了一类二阶脉冲微分方程三点边值问题,将以往所研究的方程的边界条件和脉冲项做了推广,得到了其解的存在性的新结果,最后通过实例说明了结论的应用.
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| 关 键 词： | 脉冲微分方程 边值问题 Leray-Schauder不动点定理 |
The Existence Result of Solution to Boundary Value Problem of a Class of Second-Order Impulsive Differential Equation |
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| DU.The Existence Result of Solution to Boundary Value Problem of a Class of Second-Order Impulsive Differential Equation[J].Journal of Biomathematics,2012(2):311-321. |
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| Authors: | DU |
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| Institution: | DU Jun (Department of Mathematics Huainan Normal University, Huainan Anhui 232001 China) |
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| Abstract: | By using Leray-Schauder fixed point theorem,the existence result of solution to three-point boundary value problem of a class of second-order impulsive differential equation is discussed in this paper. The boundary value conditions and impulsive term are extend. Particularly, the new conclusions about the existence of the solution are obtained. At last,the material example shows the application of the results. |
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| Keywords: | Impulsive ditterential equation Boundary value problem Leray-claauclerfixed point theory |
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