| 二阶脉冲微分方程积分边值问题多个非负解的存在性 |
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| 引用本文： | 贾梅,刘锡平.二阶脉冲微分方程积分边值问题多个非负解的存在性[J].吉林大学学报(理学版),2011,49(4):594-600. |
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| 作者姓名： | 贾梅 刘锡平 |
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| 作者单位： | 上海理工大学 理学院, 上海 200093 |
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| 基金项目： | 上海市教委科研创新基金重点项目 |
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| 摘 要： | 利用不动点定理, 通过构造3个泛函, 研究一类非线性项中含有一阶导数的二阶脉冲微分方程积分边值问题多个非负解的存在性. 在较弱的条件下, 得到了该脉冲边值问题具有3个非负解的多解定理.
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| 关 键 词： | 脉冲 边值问题 积分边界条件 不动点定理 非负解 |
| 收稿时间： | 2010-08-02 |
Multiple Nonnegative Solutions of Boundary Value Problems for the Second Order Impulsive Differential Equation with Integral Boundary Conditions |
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| JIA Mei,LIU Xi-ping.Multiple Nonnegative Solutions of Boundary Value Problems for the Second Order Impulsive Differential Equation with Integral Boundary Conditions[J].Journal of Jilin University: Sci Ed,2011,49(4):594-600. |
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| Authors: | JIA Mei LIU Xi-ping |
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| Institution: | College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China |
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| Abstract: | With the aid of the fixed point theorem in a cone, we studied the existence of multiple nonnegative solutions to a type of the boundary value problems of second order impulsive differential equations with integral boundary conditions and with the nonlinear term containing the first order derivative by constructing three functional. The theorem for the existence of at least three nonnegative solutions was obtained under the weaker conditions. |
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| Keywords: | impulse boundary value problems integral boundary conditions fixed point theorem nonnegative solutions |
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