| Banach空间非线性脉冲积分方程解的存在性 |
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| 引用本文： | 谢胜利.Banach空间非线性脉冲积分方程解的存在性[J].应用数学,2011,24(1). |
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| 作者姓名： | 谢胜利 |
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| 作者单位： | 安徽建筑工业学院数理系,安徽,合肥,230601 |
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| 基金项目： | Supported by Natural Science Foundation of Anhui University of Architecture(20071201) |
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| 摘 要： | 利用Monch不动点定理和分段估计方法,本文研究Banach空间非线性脉冲积分方程解的存在性,但是我们不使用脉冲项的紧型条件和非紧型测度估计的限制性条件.作为一个应用,我们讨论Banach空间一阶非线性脉冲微分方程终值问题解的存在性.
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| 关 键 词： | 积分方程 终值问题 不动点 Banach空间 |
Solvability of Nonlinear Impulsive Integral Equations in Banach Spaces |
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| XIE Shengli.Solvability of Nonlinear Impulsive Integral Equations in Banach Spaces[J].Mathematica Applicata,2011,24(1). |
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| Authors: | XIE Shengli |
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| Institution: | XIE Shengli(Department of Mathematics & Physics,Anhui University of Architecture,Hefei 230601,China) |
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| Abstract: | By using M(o)nch fixed point theorem and progressive estimation method,the paper deals with the existence of solutions to nonlinear impulsive integral equations in Banach spaces. But we don't use the restricted conditions of noncompacmess measure estimation and the compact type conditions of impulsive terms. As an application, we discuss the existence of solutions of terminal value problems to nonlinear first order impulsive differential equations in Banach spaces. |
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| Keywords: | Integral equation Terminal value problem Fixed point Banach space |
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