Existence of global solutions for second order impulsive abstract functional integrodifferential equations

Vijayakumar V.; Sivasankaran S.; Mallika Arjunan M.

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Existence of global solutions for second order impulsive abstract functional integrodifferential equations

机译：二阶脉冲抽象函数积分微分方程整体解的存在性

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摘要

In this paper, we study the existence of global solutions for a class of second order impulsive abstract functional integrodifferential equations. The results are obtained by using Leray-Schauder's Alternative fixed point theorem. An application is provided to illustrate the theory.

机译：在本文中，我们研究了一类二阶脉冲抽象函数积分微分方程的整体解。通过使用Leray-Schauder的替代不动点定理获得结果。提供了一个应用程序来说明该理论。

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《Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis》 |2011年第6期|共20页
作者
Vijayakumar V.; Sivasankaran S.; Mallika Arjunan M.;
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正文语种 eng
中图分类数学;
关键词
Cosine function of operators; Global solutions; Impulsive systems; Integrodifferential equations; Second order abstract Cauchy problem;

机译：算子的余弦函数整体解脉冲系统积分微分方程二阶抽象柯西问题;

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1. Existence of global solutions for second order impulsive abstract functional integrodifferential equations [J] . Vijayakumar V., Sivasankaran S., Mallika Arjunan M. Dynamics of continuous, discrete & impulsive systems, Series A. Mathematical analysis . 2011,第6期

机译：二阶脉冲抽象函数积分微分方程整体解的存在性
2. Existence of solutions for fractional impulsive neutral functional infinite delay integrodifferential equations with nonlocal conditions [J] . A. Anguraj, M. Latha Maheswari The Journal of Nonlinear Sciences and its Applications . 2012,第4期

机译：具有非局部条件的分数阶脉冲中性泛函无限延迟积分微分方程解的存在性
3. Existence of solutions for nonlocal impulsive partial functional integrodifferential equations via fractional operators [J] . Yan, Z. Journal of Computational and Applied Mathematics . 2011,第8期

机译：通过分数算子解非局部脉冲局部函数积分微分方程解的存在性
4. Existence of Solutions of Fractional Impulsive Integrodifferential Equations of Sobolev Type [C] . Natarajan Annapoorani Conference on non-integer order calculus and its applications . 2016

机译：Sobolev型分数阶脉冲积分微分方程解的存在性
5. Piecewise Stepanov-like Pseudo-Almost Periodic Solutions to Abstract Impulsive Differential Equations [D] . Sy, Demba 2019

机译：抽象脉冲微分方程的分段Stepanov型伪概周期解
6. Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales [O] . Bing Li, Yongkun Li, Xuemei Zhang -1

机译：时标上n维中立型动力方程周期解的存在性和全局指数稳定性
7. Existence of solutions for nonlocal impulsive partial functional integrodifferential equations via fractional operators [O] . Yan Zuomao 2011

机译：非分数阶脉冲局部函数积分微分方程解的存在性

Existence of global solutions for second order impulsive abstract functional integrodifferential equations

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