具有非局部和脉冲条件的Volterra型积分微分方程

IF 0.9 4区数学 Q2 MATHEMATICS Journal of Integral Equations and Applications Pub Date : 2022-03-01 DOI:10.1216/jie.2022.34.19

Amadou Diop, M. Dieye, M. Diop, K. Ezzinbi

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引用次数: 4

摘要

本文研究了一类Volterra型非局部脉冲积分微分方程。我们研究了对应于（1）线性部分的预解算子是范数连续的情况。我们的结果是利用非紧Hausdorff测度和不动点定理得到的。举例说明了这项工作的基本理论。

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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Integrodifferential equations of Volterra type with nonlocal and impulsive conditions

This work is devoted to the study of a class of nonlocal impulsive integrodifferential equations of Volterra type. We investigate the situation when the resolvent operator corresponding to the linear part of (1) is norm continuous. Our results are obtained by using noncompactness Hausdorff measure and fixed point theorems. An example is provided to illustrate the basic theory of this work.

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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.