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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
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Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2005, Volume 5, Issue 3, Pages 20–28 (Mi vngu211)  

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

Asymptotic properties of solutions to delay differential equations

G. V. Demidenko, I. I. Matveeva
References:
Abstract: We consider quasilinear systems of delay differential equations with constant coefficients in linear terms. We obtain sufficient conditions of asymptotic stability of the zero solution, establish estimates of decay rates of solutions at infinity, and find attraction domains of the zero solution. The results are stated in terms of a modified Lyapunov–Krasovskii functional.
Document Type: Article
UDC: 517.924.4
Language: Russian
Citation: G. V. Demidenko, I. I. Matveeva, “Asymptotic properties of solutions to delay differential equations”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 5:3 (2005), 20–28
Citation in format AMSBIB
\Bibitem{DemMat05}
\by G.~V.~Demidenko, I.~I.~Matveeva
\paper Asymptotic properties of solutions to delay differential equations
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2005
\vol 5
\issue 3
\pages 20--28
\mathnet{http://mi.mathnet.ru/vngu211}
Linking options:
  • https://www.mathnet.ru/eng/vngu211
  • https://www.mathnet.ru/eng/vngu/v5/i3/p20
  • This publication is cited in the following 19 articles:
    1. M. A. Skvortsova, “Globalnaya ustoichivost i otsenki reshenii v odnoi modeli dinamiki populyatsii s zapazdyvaniem”, Chelyab. fiz.-matem. zhurn., 9:4 (2024), 634–649  mathnet  crossref
    2. T. Yskak, “Stability of solutions of delay differential equations”, Siberian Adv. Math., 33:3 (2023), 253–260  mathnet  crossref
    3. V. V. Malygina, K. M. Chudinov, “About exact two-sided estimates for stable solutions to autonomous functional differential equations”, Siberian Math. J., 63:2 (2022), 299–315  mathnet  crossref  crossref
    4. 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
    5. 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
    6. T. Yskak, “Otsenki reshenii odnogo klassa sistem nelineinykh differentsialnykh uravnenii s raspredelennym zapazdyvaniem”, Sib. elektron. matem. izv., 17 (2020), 2204–2215  mathnet  crossref
    7. G. V. Demidenko, I. I. Matveeva, M. A. Skvortsova, “Estimates for solutions to neutral differential equations with periodic coefficients of linear terms”, Siberian Math. J., 60:5 (2019), 828–841  mathnet  crossref  crossref  isi  elib  elib
    8. M. A. Skvortsova, “Otsenki reshenii v modeli khischnik-zhertva s zapazdyvaniem”, Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya Matematika, 25 (2018), 109–125  mathnet  crossref
    9. I. I. Matveeva, “On the robust stability of solutions to periodic systems of neutral type”, J. Appl. Industr. Math., 12:4 (2018), 684–693  mathnet  crossref  crossref  elib  elib
    10. M. A. Skvortsova, “Ustoichivost reshenii v modeli khischnik-zhertva s zapazdyvaniem”, Matematicheskie zametki SVFU, 23:2 (2016), 108–120  mathnet  elib
    11. G. V. Demidenko, I. I. Matveeva, “O robastnoi ustoichivosti reshenii lineinykh differentsialnykh uravnenii neitralnogo tipa s periodicheskimi koeffitsientami”, Sib. zhurn. industr. matem., 18:4 (2015), 18–29  mathnet  crossref  mathscinet  elib
    12. G. V. Demidenko, D. Sh. Baldanov, “On asymptotic stability of solutions to delay difference equations”, J. Math. Sci., 221:6 (2017), 815–825  mathnet  crossref  crossref
    13. G. V. Demidenko, I. I. Matveeva, “On the exponential stability of solutions to one class of differential equations of neutral type”, J. Appl. Industr. Math., 8:4 (2014), 510–520  mathnet  crossref  mathscinet
    14. G. V. Demidenko, I. I. Matveeva, “On estimates of solutions to systems of differential equations of neutral type with periodic coefficients”, Siberian Math. J., 55:5 (2014), 866–881  mathnet  crossref  mathscinet  isi
    15. G. V. Demidenko, I. I. Matveeva, “Estimates for Solutions to One Class of Nonlinear Systems of Neutral Type with Several Delays”, J. Math. Sci., 213:6 (2016), 811–822  mathnet  crossref
    16. I. I. Matveeva, “Estimates for solutions to one class of nonlinear delay differential equations”, J. Appl. Industr. Math., 7:4 (2013), 557–566  mathnet  crossref  mathscinet
    17. M. A. Skvortsova, “Asymptotic Properties of Solutions to Systems of Differential Equations of Neutral Type in Time-Varying Delay Case”, J. Math. Sci., 205:3 (2015), 455–463  mathnet  crossref
    18. M. A. Skvortsova, “Otsenki reshenii i oblasti prityazheniya nulevogo resheniya sistem kvazilineinykh uravnenii neitralnogo tipa”, Vestn. YuUrGU. Ser. Matem. modelirovanie i programmirovanie, 2011, no. 10, 30–39  mathnet
    19. G. V. Demidenko, T. V. Kotova, M. A. Skvortsova, “Stability of solutions to differential equations of neutral type”, J. Math. Sci., 186:3 (2012), 394–406  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
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