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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive
Sibirsk. Mat. Zh., 2023 Volume 64, Number 6, Pages 1248–1262 (Mi smj7828)
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


© Steklov Math. Inst. of RAS, 2025