Existence Theory and Topological Aspects of the Solution Set of Integrodifferential Equations

Ghaus ur Rahman; Fatima Zohra Mostefai

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Existence Theory and Topological Aspects of the Solution Set of Integrodifferential Equations

机译：积分积分方程解决方案集的存在理论和拓扑方面

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摘要

The present research work is devoted to study the existence of solutions and related results for the integrodifferential equation, where all the functions take values in a Banach space while the used integral is Henstock–Kurzweil–Pettis.Moreover, in order to exhibit the structure of the solution set some topological properties will be determined for the underlying problem.

机译：本研究工作致力于研究积分积分式方程的解决方案和相关结果的存在，其中所有功能在Banach空间中取值，而使用的积分是Henstock-Kurzweil-pettis.moreover，以表现出结构解决方案设置一些拓扑属性将确定潜在的问题。

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《International Journal of Difference Equations》 |2020年第2期|共20页
作者
Ghaus ur Rahman; Fatima Zohra Mostefai;
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中图分类微分方程、积分方程;
关键词
Integrodifferential equationHenstock–Kurzweil–Pettis integralmeasure of noncompactnesspseudo solution.;

机译：积分积分式公式Henstock-Kurzweil-Pettis非符合性Pseudo解决方案的积分。;

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1. Existence of solutions to some retarded integrodifferential equations via the topological transversality theorem [J] . Rui A.C. Ferreira Nonlinear Analysis: An International Multidisciplinary Journal . 2010,第6期

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2. Existence of solutions for a coupled system of fractional differential equations by means of topological degree theory [J] . Xie Jingli, Duan Lijing Advances in Difference Equations . 2021,第a期

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3. Existence and uniqueness of solutions for coupled system of fractional differential equations involving proportional delay by means of topological degree theory [J] . Ali Anwar, Sarwar Muhammad, Zada Mian Bahadur, Advances in Difference Equations . 2020,第a期

机译：拓扑耦合系统解决方案的存在唯一性，介绍拓扑学理论比例延迟的分数微分方程
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. Existence of solutions to degenerate parabolic equations via the Monge-Kantorovich theory. [D] . Agueh, Martial Marie-Paul. 2002

机译：通过Monge-Kantorovich理论来退化抛物方程的解的存在性。
6. Existence and Uniqueness of Solution for a Class of Stochastic Differential Equations [O] . Junfei Cao, Zaitang Huang, Caibin Zeng 2013

机译：一类随机微分方程解的存在唯一性
7. 13. Stochastic differential equations On existence and uniqueness of solutions of stochastic nonlinear integrodifferential equations [O] . Thakur L.B. 1984

机译：13.随机微分方程随机非线性积分微分方程解的存在性和唯一性
8. Asymptotic Bounds for Solutions to a System of Damped Integrodifferential Equations of Electromagnetic Theory. [R] . Bloom, F. 1979

机译：一类阻尼积分微分方程电磁理论解的渐近界。

Existence Theory and Topological Aspects of the Solution Set of Integrodifferential Equations

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