Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces

Xuemei Zhang; Meiqiang Feng; Weigao Ge

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Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces

机译：Banach空间中二阶脉冲积分微分方程具有积分边界条件的边值问题解的存在性

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摘要

This paper investigates the existence of solutions for a class of second-order boundary- value problems with integral boundary conditions of nonlinear impulsive integro- differential equations in Banach spaces. The arguments are based upon the fixed point theorem of strict set contraction operators. Meanwhile, an example is worked out to demonstrate the main results.

机译：本文研究了Banach空间中一类具有非线性脉冲积分微分方程积分边界条件的二阶边值问题解的存在性。这些参数基于严格集合收缩算子的不动点定理。同时，通过实例说明了主要结果。

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《Journal of Computational and Applied Mathematics》 |2010年第8期|共12页
作者
Xuemei Zhang; Meiqiang Feng; Weigao Ge;
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正文语种 eng
中图分类计算数学;
关键词
Boundary value problem; Integral boundary conditions; Fixed point theory; Existence; Measure of noncompactness;

机译：边值问题;积分边界条件;不动点理论;存在性;非紧致性的度量;

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专利

1. Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces [J] . Xuemei Zhang, Meiqiang Feng, Weigao Ge Journal of Computational and Applied Mathematics . 2010,第8期

机译：Banach空间中二阶脉冲积分微分方程具有积分边界条件的边值问题解的存在性
2. Positive solutions of Sturm-Liouville boundary value problems for singular nonlinear second-order impulsive integro-differential equation in Banach spaces [J] . Yan Sun Boundary value problems . 2012,第1期

机译：Banach空间中奇异非线性二阶脉冲积分微分方程Sturm-Liouville边值问题的正解
3. Positive solutions for a second-order nonlinear impulsive singular integro-differential equation with integral conditions in Banach spaces [J] . Xingqiu ZHANG 数学研究及应用：英文版 . 2012,第005期

机译：Banach空间中带积分条件的二阶非线性脉冲奇异积分-微分方程的正解
4. Existence of Solution for Boundary Value Problem of Impulsive Differential Equations in Banach Spaces [C] . Dehong Ji, Weigao Ge Advances in computer science and engineering . 2012

机译：Banach空间中脉冲微分方程边值问题解的存在性。
5. Boundary value problems and soliton solutions of discrete evolution equations; Numerical methods for the sine-Gordon equation with impulsive forcing. [D] . Wang, Danhua. 2011

机译：离散发展方程的边值问题和孤子解；带脉冲强迫的正弦-戈登方程的数值方法。
6. Existence and Uniqueness Theorems for Impulsive Fractional Differential Equations with the Two-Point and Integral Boundary Conditions [O] . M. J. Mardanov, N. I. Mahmudov, Y. A. Sharifov -1

机译：具有两点和积分边界条件的脉冲分数阶微分方程的存在性和唯一性定理
7. Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces [O] . Zhang Xuemei, Feng Meiqiang, Ge Weigao 2010

机译：Banach空间中二阶脉冲积分微分方程具有积分边界条件的边值问题解的存在性

Existence of solutions of boundary value problems with integral boundary conditions for second-order impulsive integro-differential equations in Banach spaces

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