I. I. Matveeva, “Estimates for exponential decay of solutions to one class of nonlinear systems of neutral type with periodic coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 612–620; Comput. Math. Math. Phys., 60:4 (2020), 601

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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2020, Volume 60, Number 4, Pages 612–620
DOI: https://doi.org/10.31857/S0044466920040122 (Mi zvmmf11060)

This article is cited in 19 scientific papers (total in 19 papers)

Estimates for exponential decay of solutions to one class of nonlinear systems of neutral type with periodic coefficients

I. I. Matveeva^ab

^a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
^b Novosibirsk State University, Novosibirsk, 630090 Russia

Citations (19)

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DOI: https://doi.org/10.31857/S0044466920040122

Abstract: The class of nonlinear systems of delay differential equations with periodic coefficients in linear terms is considered. By using a special class of Lyapunov–Krasovskii functionals, conditions for the exponential stability of the zero solution are indicated and estimates characterizing the rate of exponential decay of solutions at infinity are obtained.

Key words: systems of neutral type, exponential stability, estimates of solutions, Lyapunov–Krasovskii functional.

Funding agency	Grant number
Ministry of Education and Science of the Russian Federation	075-15-2019-1613
This work was supported by the Mathematical Center in Akademgorodok under agreement no. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation.

Received: 14.11.2019
Revised: 14.11.2019
Accepted: 16.12.2019

English version:
Computational Mathematics and Mathematical Physics, 2020, Volume 60, Issue 4, Pages 601–609
DOI: https://doi.org/10.1134/S0965542520040120

Bibliographic databases:

Document Type: Article

UDC: 517.929.4

Language: Russian

Citation: I. I. Matveeva, “Estimates for exponential decay of solutions to one class of nonlinear systems of neutral type with periodic coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 60:4 (2020), 612–620; Comput. Math. Math. Phys., 60:4 (2020), 601–609

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Linking options:

https://www.mathnet.ru/eng/zvmmf11060

https://www.mathnet.ru/eng/zvmmf/v60/i4/p612

This publication is cited in the following 19 articles:

T. K. Iskakov, M. A. Skvortsova, “Estimates for Solutions of a Biological Model with Infinite Distributed Delay”, Comput. Math. and Math. Phys., 64:8 (2024), 1689
I. I. Matveeva, “Estimates of Solutions for a Class of Nonautonomous Systems of Neutral Type with Concentrated and Distributed Delays”, Comput. Math. and Math. Phys., 64:8 (2024), 1796
I. I. Matveeva, “Ustoichivost reshenii odnogo klassa nelineinykh sistem integro-differentsialnykh uravnenii s zapazdyvaniem”, Chelyab. fiz.-matem. zhurn., 9:4 (2024), 609–621
I. I. Matveeva, “Estimates of solutions for a class of nonautonomous systems of neutral type with concentrated and distributed delays”, Comput. Math. Math. Phys., 64:8 (2024), 1796–1808
T. K. Iskakov, M. A. Skvortsova, “Estimates for solutions of a biological model with infinite distributed delay”, Comput. Math. Math. Phys., 64:8 (2024), 1689–1703
T. Yskak, “Stability of Solutions of Delay Differential Equations”, Sib. Adv. Math., 33:3 (2023), 253
M. A. Skvortsova, T. Yskak, “Otsenki reshenii differentsialnykh uravnenii s raspredelennym zapazdyvaniem, opisyvayuschikh konkurentsiyu neskolkikh vidov mikroorganizmov”, Sib. zhurn. industr. matem., 25:4 (2022), 193–205
M. A. Skvortsova, “Otsenki reshenii dlya odnoi biologicheskoi modeli”, Matem. tr., 25:1 (2022), 152–176
M. A. Skvortsova, “Estimates of Solutions for a Biological Model”, Sib. Adv. Math., 32:4 (2022), 310
M. A. Skvortsova, T. Yskak, “Estimates of Solutions to Differential Equations with Distributed Delay Describing the Competition of Several Types of Microorganisms”, J. Appl. Ind. Math., 16:4 (2022), 800
I. I. Matveeva, “Estimates for solutions to a class of nonautonomous systems of neutral type with unbounded delay”, Siberian Math. J., 62:3 (2021), 468–481
M. A. Skvortsova, T. Yskak, “Asymptotic behavior of solutions in one predator–prey model with delay”, Siberian Math. J., 62:2 (2021), 324–336
T. Yskak, “On estimates of solutions to systems of nonlinear differential equations with distributed delay and periodic coefficients in the linear terms”, J. Appl. Industr. Math., 15:2 (2021), 355–364
M. A. Skvortsova, “Asymptotic properties of solutions to delay differential equations describing plankton-fish interaction”, Mathematics, 9:23 (2021), 3064
M. A. Skvortsova, “Asymptotic Behavior of Solutions in a Model of Immune Response in Plants”, Lobachevskii J Math, 42:14 (2021), 3505
G. V. Demidenko, I. I. Matveeva, Springer Proceedings in Mathematics & Statistics, 379, Functional Differential Equations and Applications, 2021, 145
I. I. Matveeva, “Estimates for Solutions to a Class of Nonlinear Time-Varying Delay Systems”, Lobachevskii J Math, 42:14 (2021), 3497
M. V. Falaleev, E. Y. Grazhdantseva, “Generalized Solutions of Differential Equations with the Derivatives of Functionals in Banach Spaces”, Lobachevskii J Math, 42:15 (2021), 3626
T. K. Yskak, “Estimates For Solutions of One Class to Systems of Nonlinear Differential Equations With Distributed Delay”, Sib. Electron. Math. Rep., 17 (2020), 2204–2215

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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