Banach空间非线性脉冲Volterra型积分方程和积分-微分方程的可解性

谢胜利;杨志林

数学学报 ›› 2003, Vol. 46 ›› Issue (3) : 445-452.

数学学报 ›› 2003, Vol. 46 ›› Issue (3) : 445-452. DOI: 10.12386/A2003sxxb0062
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Banach空间非线性脉冲Volterra型积分方程和积分-微分方程的可解性

    谢胜利;杨志林
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Solvability of Nonlinear Impulsive Volterra Integral Equations and Integro-Differential Equations in Banach Spaces

    Sheng Li XIE(1),Zhi Lin YANG(2
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摘要

本文在较宽松的条件下,研究了Banach空间非线性脉冲Volterra型积分方 程和脉冲积分一微分方程解的存在性,建立了新的存在性定理,本质上改进了某些已 知的结果.

Abstract

In this paper, under loose conditions, we investigate the existence of solutions to nonlinear impulsive Volterra integral equations and impulsive integro-differential equations in Banach spaces, establish the new existence theorems and essentially improve some known results.

关键词

非紧性测度 / 不动点 / 脉冲积分方程 / 脉冲积分-微分方程

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谢胜利;杨志林. Banach空间非线性脉冲Volterra型积分方程和积分-微分方程的可解性. 数学学报, 2003, 46(3): 445-452 https://doi.org/10.12386/A2003sxxb0062
Sheng Li XIE(1),Zhi Lin YANG(2. Solvability of Nonlinear Impulsive Volterra Integral Equations and Integro-Differential Equations in Banach Spaces. Acta Mathematica Sinica, Chinese Series, 2003, 46(3): 445-452 https://doi.org/10.12386/A2003sxxb0062

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