This article is cited in 1 paper

The myshkis $3/2$ theorem and its generalizations

V. V. Malygina

Perm National Research Polytechnic University

Abstract: We discuss the well-known Myshkis result on the stability of nonautonomous first-order delay differential equations, providing an extension to the general differential equations with aftereffect, and make comparison with available results.

Keywords: functional differential equations, stability, Cauchy function, $3/2$ theorem.

UDC: 517.929

MSC: 35R30

Received: 02.06.2023
Revised: 05.07.2023
Accepted: 02.08.2023

DOI: 10.33048/smzh.2023.64.611

 English version: Siberian Mathematical Journal, 2023, 64:6, 1372–1384