G. V. Demidenko, I. I. Matveeva, M. A. Skvortsova, “Estimates for solutions to neutral differential equations with periodic coefficients of linear terms”, Sibirsk. Mat. Zh., 60:5 (2019), 1063–1079; Siberian Math. J., 60:5 (2019), 828

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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 5, Pages 1063–1079
DOI: https://doi.org/10.33048/smzh.2019.60.506 (Mi smj3133)

This article is cited in 23 scientific papers (total in 23 papers)

Estimates for solutions to neutral differential equations with periodic coefficients of linear terms

G. V. Demidenko^ab, I. I. Matveeva^ab, M. A. Skvortsova^ab

^a Sobolev Institute of Mathematics, Novosibirsk, Russia
^b Novosibirsk State University, Novosibirsk, Russia

Full-text PDF (436 kB) Citations (23)

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DOI: https://doi.org/10.33048/smzh.2019.60.506

Abstract: Under study are the systems of nonlinear delay differential equations of neutral type with periodic coefficients of linear terms. We establish sufficient conditions of exponential stability of the zero solution, point out the attraction domains of the zero solution, and provide estimates for solutions characterizing the stabilization rate at infinity.

Keywords: differential equation of neutral type, periodic coefficient, exponential stability, attraction domain, Lyapunov–Krasovskii functional.

Funding agency	Grant number
Russian Foundation for Basic Research	18-29-10086_мк
The authors were supported by the Russian Foundation for Basic Research (Grant 18–29–10086).

Received: 03.07.2019
Revised: 03.07.2019
Accepted: 24.07.2019

English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 5, Pages 828–841
DOI: https://doi.org/10.1134/S0037446619050069

Bibliographic databases:

Document Type: Article

UDC: 517.929.4

Language: Russian

Citation: G. V. Demidenko, I. I. Matveeva, M. A. Skvortsova, “Estimates for solutions to neutral differential equations with periodic coefficients of linear terms”, Sibirsk. Mat. Zh., 60:5 (2019), 1063–1079; Siberian Math. J., 60:5 (2019), 828–841

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Linking options:

https://www.mathnet.ru/eng/smj3133

https://www.mathnet.ru/eng/smj/v60/i5/p1063

This publication is cited in the following 23 articles:

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
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
T. K. Iskakov, “Ustoichivost reshenii sistem lineinykh differentsialnykh uravnenii neitralnogo tipa s beskonechnym raspredelennym zapazdyvaniem”, Chelyab. fiz.-matem. zhurn., 9:4 (2024), 573–584
I. I. Matveeva, “Ustoichivost reshenii odnogo klassa nelineinykh sistem integro-differentsialnykh uravnenii s zapazdyvaniem”, Chelyab. fiz.-matem. zhurn., 9:4 (2024), 609–621
A. Yu. Aleksandrov, “Stability Analysis for Some Classes of Nonlinear Systems with Distributed Delay”, Sib Math J, 65:6 (2024), 1246
A. Yu. Aleksandrov, “Stability analysis for some classes of nonlinear systems with distributed delay”, Siberian Math. J., 65:6 (2024), 1246–1258
T. K. Yskak, “Ustoichivost reshenii sistem nelineinykh differentsialnykh uravnenii s beskonechnym raspredelennym zapazdyvaniem”, Chelyab. fiz.-matem. zhurn., 8:4 (2023), 542–552
M. A. Skvortsova, “Estimates of solutions in a model of antiviral immune response”, Siberian Adv. Math., 33:4 (2023), 353–368
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, 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
M. A. Skvortsova, “Estimates of Solutions for a Biological Model”, Sib. Adv. Math., 32:4 (2022), 310
M. A. Skvortsova, T. Yskak, “Asymptotic behavior of solutions in one predator–prey model with delay”, Siberian Math. J., 62:2 (2021), 324–336
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
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
G. V. Demidenko, I. I. Matveeva, “Asymptotic stability of solutions to a class of second-order delay differential equations”, Mathematics, 9:16 (2021), 1847
M. Gozen, C. Tunc, “A new result on the exponential stability of solutions of non-linear neutral type periodic systems with variable delay”, Int. J. Math. Comput. Sci., 16:2 (2021), 753–766
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

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

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