| Banach空间二阶非线性脉冲积分-微分方程初值问题 |
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| 引用本文： | 谢胜利.Banach空间二阶非线性脉冲积分-微分方程初值问题[J].数学物理学报(A辑),2007,27(1):138-145. |
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| 作者姓名： | 谢胜利 |
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| 作者单位： | 宿州学院数学系 宿州 |
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| 基金项目： | 安徽省教育厅自然科学基金 |
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| 摘 要： | 该文在较宽松的条件下,利用不动点理论,得到了Banach空间中二阶非线性脉冲积分-微分方程初值问题解的存在性定理.作者去掉了脉冲项的紧性和增长性限制, 因而本质上改进和推广了某些现有的结果.
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| 关 键 词： | Banach空间 脉冲积分-微分方程 初值问题 非紧性测度 |
| 文章编号： | 1003-3998（2007）01-138-08 |
| 收稿时间： | 2005-10-09 |
| 修稿时间： | 2005-10-09 |
Initial Value Problems for Second Order Nonlinear Impulsive Integro-differential Equations in Banach Spaces |
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| Xie Shengli.Initial Value Problems for Second Order Nonlinear Impulsive Integro-differential Equations in Banach Spaces[J].Acta Mathematica Scientia,2007,27(1):138-145. |
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| Authors: | Xie Shengli |
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| Institution: | Department of Mathematics, Suzhou College, Suzhou 234000 |
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| Abstract: | In this paper, by using fixed point theory, the existence of solutions of initial value problems for second order nonlinear impulsive integro-differential equations in Banach spaces is investigated under some relaxed conditions. The compactness and growth restrictions on the impulsive terms have been dropped and thus the results substantially improve and generalize the specific ones. |
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| Keywords: | Banach space Impulsive integro-differential equation Initial value problem Measure of noncompactness |
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