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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2023, Number 4, Pages 3–14
DOI: https://doi.org/10.26907/0021-3446-2023-4-3-14 (Mi ivm9865) 		 
Exponential stability of autonomous differential equations of neutral type. II

A. S. Balandin

Perm National Research Polytechnic University, 29 Komsomol'skii Ave., Perm, 614990 Russia
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DOI: https://doi.org/10.26907/0021-3446-2023-4-3-14
Abstract: In this paper we consider linear differential equations of neutral type. We establish criteria for the solvability of the operator with a derivative in the spaces $L_p$, expressed in terms of the equation parameters, for commensurable delays and for delays linearly independent with respect to integers.
Keywords: neutral equation, aftereffect, the Cauchy function, fundamental solution, exponential estimations, exponential stability.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00928
Ministry of Science and Higher Education of the Russian Federation FSNM-2020-0028
Received: 24.05.2022
Revised: 24.05.2022
Accepted: 21.12.2022
Document Type: Article
UDC: 517.929
Language: Russian
Citation: A. S. Balandin, “Exponential stability of autonomous differential equations of neutral type. II”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 4, 3–14
Citation in format AMSBIB
\Bibitem{Bal23}
\by A.~S.~Balandin
\paper Exponential stability of autonomous differential equations of neutral type. II
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2023
\issue 4
\pages 3--14
\mathnet{http://mi.mathnet.ru/ivm9865}
\crossref{https://doi.org/10.26907/0021-3446-2023-4-3-14}
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