Stability of delay equations

Barreira Luis and Valls Claudia: Stability of delay equations. (2022)

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Abstract

For a large class of nonautonomous linear delay equations with distributed delay, we obtain the equivalence of hyperbolicity, with the existence of an exponential dichotomy, and Ulam–Hyers stability. In particular, for linear equations with constant or periodic coefficients and with a simple spectrum these two properties are equivalent. We also show that any linear delay equation with an exponential dichotomy and its sufficiently small Lipschitz perturbations are Ulam–Hyers stable.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2022
Number: 45
ISSN: 1417-3875
Language: English
DOI: 10.14232/ejqtde.2022.1.45
Uncontrolled Keywords: Differenciálegyenlet - késleltetett
Additional Information: Bibliogr.: p. 21-24. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2023. Mar. 13. 09:16
Last Modified: 2023. Mar. 13. 09:38
URI: http://acta.bibl.u-szeged.hu/id/eprint/78330

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