时滞参数和对称矩阵volterra积分微分方程的存在唯一性和稳定性解

IJISCS International Journal of Information System and Computer Science Pub Date : 2021-04-07 DOI:10.56327/ijiscs.v5i1.979

R. Butris, Sahla B. Abdi

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引用次数: 0

摘要

在这项研究中，我们研究了具有延迟变元和对称矩阵的Volterra积分微分方程解的存在性、唯一性和稳定性。本文采用了Picard近似方法和Banach不动点定理。在闭域和有界域（紧致空间）上的一些充要条件下，建立了解的存在唯一性定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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EXISTENCE, UNIQUENESS AND STABILITY SOLUTIONS OF VOLTERRA INTEGRODIFFERENTIAL EQUATIONS WITH RETARDED ARGUMENT AND SYMMETRIC MATRICES

In this study, we investigate the existence, uniqueness, and stability solutions of Volterra integrodifferential equations with retarded argument and symmetric matrices. The Picard approximation method and Banach fixed point theorem have been used in this study. Theorems on the existence and uniqueness of a solution are established under some necessary and sufficient conditions on closed and bounded domains (compact spaces).

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来源期刊

IJISCS International Journal of Information System and Computer Science

自引率

0.00%

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审稿时长

12 weeks