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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. Demidenkoab, I. I. Matveevaab, M. A. Skvortsovaab

a Sobolev Institute of Mathematics, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
References:
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
Citation in format AMSBIB
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\paper Estimates for solutions to neutral differential equations with periodic coefficients of linear terms
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\vol 60
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\pages 1063--1079
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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:
    1. 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  crossref
    2. 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  crossref
    3. T. K. Iskakov, “Ustoichivost reshenii sistem lineinykh differentsialnykh uravnenii neitralnogo tipa s beskonechnym raspredelennym zapazdyvaniem”, Chelyab. fiz.-matem. zhurn., 9:4 (2024), 573–584  mathnet  crossref
    4. I. I. Matveeva, “Ustoichivost reshenii odnogo klassa nelineinykh sistem integro-differentsialnykh uravnenii s zapazdyvaniem”, Chelyab. fiz.-matem. zhurn., 9:4 (2024), 609–621  mathnet  crossref
    5. A. Yu. Aleksandrov, “Stability Analysis for Some Classes of Nonlinear Systems with Distributed Delay”, Sib Math J, 65:6 (2024), 1246  crossref
    6. A. Yu. Aleksandrov, “Stability analysis for some classes of nonlinear systems with distributed delay”, Siberian Math. J., 65:6 (2024), 1246–1258  mathnet  crossref  crossref
    7. T. K. Yskak, “Ustoichivost reshenii sistem nelineinykh differentsialnykh uravnenii s beskonechnym raspredelennym zapazdyvaniem”, Chelyab. fiz.-matem. zhurn., 8:4 (2023), 542–552  mathnet  crossref
    8. M. A. Skvortsova, “Estimates of solutions in a model of antiviral immune response”, Siberian Adv. Math., 33:4 (2023), 353–368  mathnet  crossref  crossref  elib
    9. 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  mathnet  crossref
    10. M. A. Skvortsova, “Otsenki reshenii dlya odnoi biologicheskoi modeli”, Matem. tr., 25:1 (2022), 152–176  mathnet  crossref
    11. 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  crossref
    12. M. A. Skvortsova, “Estimates of Solutions for a Biological Model”, Sib. Adv. Math., 32:4 (2022), 310  crossref
    13. M. A. Skvortsova, T. Yskak, “Asymptotic behavior of solutions in one predator–prey model with delay”, Siberian Math. J., 62:2 (2021), 324–336  mathnet  crossref  crossref  isi  elib
    14. 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  mathnet  crossref  crossref  isi  elib
    15. 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  mathnet  crossref  crossref  elib
    16. M. A. Skvortsova, “Asymptotic properties of solutions to delay differential equations describing plankton-fish interaction”, Mathematics, 9:23 (2021), 3064  crossref  isi  scopus
    17. G. V. Demidenko, I. I. Matveeva, “Asymptotic stability of solutions to a class of second-order delay differential equations”, Mathematics, 9:16 (2021), 1847  crossref  isi  scopus
    18. 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  mathscinet  zmath  isi
    19. G. V. Demidenko, I. I. Matveeva, Springer Proceedings in Mathematics & Statistics, 379, Functional Differential Equations and Applications, 2021, 145  crossref
    20. I. I. Matveeva, “Estimates for Solutions to a Class of Nonlinear Time-Varying Delay Systems”, Lobachevskii J Math, 42:14 (2021), 3497  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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