Uniqueness of the partial integro-differential equations

IF 0.9 4区数学 Q2 MATHEMATICS

Journal of Integral Equations and Applications Pub Date : 2021-12-01 DOI:10.1216/jie.2021.33.463

Chenkuan Li

引用次数: 3

Abstract

Summary: We study the uniqueness of solutions for certain partial integro-diﬀerential equations with the initial conditions in a Banach space. The results derived are new and based on Babenko’s approach, convolution and Banach’s contraction principle. We also include several examples for the illustration of main theorems.

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偏积分微分方程的唯一性

摘要:研究了Banach空间中具有初始条件的部分积分-微分方程解的唯一性。基于Babenko的方法、卷积和Banach的收缩原理得到了新的结果。我们还包括几个例子来说明主要定理。

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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来源期刊

Journal of Integral Equations and Applications MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Journal of Integral Equations and Applications is an international journal devoted to research in the general area of integral equations and their applications. The Journal of Integral Equations and Applications, founded in 1988, endeavors to publish significant research papers and substantial expository/survey papers in theory, numerical analysis, and applications of various areas of integral equations, and to influence and shape developments in this field. The Editors aim at maintaining a balanced coverage between theory and applications, between existence theory and constructive approximation, and between topological/operator-theoretic methods and classical methods in all types of integral equations. The journal is expected to be an excellent source of current information in this area for mathematicians, numerical analysts, engineers, physicists, biologists and other users of integral equations in the applied mathematical sciences.