Razumikhin approach in the generalized Myshkis problem for systems with distributed delay

IF 0.3 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya Pub Date : 2023-01-01 DOI:10.21638/11701/spbu10.2023.202

A. Egorov

引用次数: 1

Abstract

The paper gives sufficient conditions for the solvability of the generalized Myshkis problem for a system of equations with a distributed time-varying delay and a constant kernel. Conditions on the kernel which guarantee the uniform stability of the system for any admissible delay are obtained. The admissible delay in this paper is a piecewise continuous function bounded from above in magnitude and growth rate. The applicability of the obtained conditions is illustrated by two examples.

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分布延迟系统广义Myshkis问题的Razumikhin方法

本文给出了一类具有分布时变时滞和常核的方程组的广义Myshkis问题可解的充分条件。得到了保证系统在任何允许时滞下一致稳定的核的条件。本文的可容许时滞是一个在大小和增长率上有界的分段连续函数。通过两个算例说明所得条件的适用性。

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

Vestnik Sankt-Peterburgskogo Universiteta Seriya 10 Prikladnaya Matematika Informatika Protsessy Upravleniya MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.30

自引率

50.00%

发文量

期刊介绍： The journal is the prime outlet for the findings of scientists from the Faculty of applied mathematics and control processes of St. Petersburg State University. It publishes original contributions in all areas of applied mathematics, computer science and control. Vestnik St. Petersburg University: Applied Mathematics. Computer Science. Control Processes features articles that cover the major areas of applied mathematics, computer science and control.