Floquet theory and stability for a class of first order differential equations with delays-Reference-Cited by-同舟云学术

Floquet theory and stability for a class of first order differential equations with delays

Published:2024-01-02 Issue: Volume: Page:
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Domoshnitsky Alexander¹,Berenson Elnatan¹,Levi Shai¹,Litsyn Elena¹

Affiliation:

1. Department of Mathematics , Ariel University , Ariel , Israel

Abstract

Abstract A version of the Floquet theory for first order delay differential equations is proposed. Formula of solutions representation is obtained. On this basis, the stability of first order delay differential equations is studied. An analogue of the classical integral Lyapunov–Zhukovskii test of stability is proved. New, in comparison with all known, tests of the exponential stability are obtained on the basis of the Floquet theory. A possibility to achieve the exponential stability is connected with oscillation of solutions.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2023-2119/pdf

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