Nonlinear impulsive Volterra integral equations in Banach spaces and applications

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Nonlinear impulsive Volterra integral equations in Banach spaces and applications

机译：Banach空间中的非线性脉冲Volterra积分方程及其应用

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In this paper, we first extend results on the existence of maximal solutions for nonlinear Volterra integral equations in Banach spaces to impulsive Volterra integral equations. Then, we give some applications to initial value problems for first order impulsive differential equations in Banach spaces. The results are demonstrated by means of an example of an infinite system for impulsive differential equations.

机译：在本文中，我们首先将Banach空间中非线性Volterra积分方程的最大解的存在性结果推广到脉冲Volterra积分方程。然后，我们将其应用于Banach空间中一阶脉冲微分方程的初值问题。通过一个关于脉冲微分方程的无限系统的例子来证明结果。

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《International journal of stochastic analysis》 |1993年第1期|共14页
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DajunGuo;
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中图分类应用数学;
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1. NONLINEAR IMPLICIT IMPULSIVE VOLTERRATYPE RANDOM INTEGRAL EQUATIONSIN BANACH SPACES [J] . Heng-you Lan, Jong Kyu Kim, Yeol Je Cho Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis . 2010,第3期

机译：Banach空间中的非线性隐式脉冲Volterra型随机积分方程
2. ITERATIVE SOLUTIONS FOR A CLASS OF NONLINEAR IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES [J] . Xiaoyan Zhang Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis . 2007,第5期

机译：Banach空间中一类非线性脉冲Volterra积分方程的迭代解
3. Existence of Solutions to Nonlinear Impulsive Volterra Integral Equations in Banach Spaces [J] . CHEN Fangqi, TIAN Ruilan Transactions of Tianjin University . 2005,第2期

机译：Banach空间中非线性脉冲Volterra型积分方程解的存在性。
4. Nonlocal Problems of Nonlinear n-th Order Mixed Impulsive Integro-Differential Equations in Banach Spaces [C] . Xie Shengli 2012 Second International Conference on Business Computing and Global Informatization. . 2012

机译：Banach空间中非线性n阶混合脉冲积分微分方程的非局部问题
5. Applications of Nonlinear Systems of Ordinary Differential Equations and Volterra Integral Equations to Infectious Disease Epidemiology. [D] . Morale Butler, Emmanuel J. 2014

机译：常微分方程和Volterra积分方程的非线性系统在传染病流行病学中的应用。
6. ON A „MONOTONICITY METHOD FOR THE SOLUTION OF NONLINEAR EQUATIONS IN BANACH SPACES [O] . George J. Minty 1963

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7. NONLINEAR IMPULSIVE VOLTERRA INTEGRAL EQUATIONS IN BANACH SPACES AND APPLICATIONS [O] . Dajun Guo 2015

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8. A Nonlinear Functional Differential Equation in Banach Space with Applications to Materials with Fading Memory [R] . Hrusa, W. J. 1982

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Nonlinear impulsive Volterra integral equations in Banach spaces and applications

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