G. V. Demidenko, E. S. Vodop'yanov, M. A. Skvortsova, “Estimates of solutions to linear differential equations of neutral type with several delays of argument”, Sib. Zh. Ind. Mat., 16:3 (2013), 53–60; J. Appl. Industr. Math., 7:4 (2013), 472

Loading [MathJax]/jax/output/SVG/config.js

Sibirskii Zhurnal Industrial'noi Matematiki

RUS ENG

JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB

JavaScript is disabled in your browser. Please switch it on to enable full functionality of the website

	General information
	Latest issue
	Archive
	Impact factor

	Search papers
	Search references

	RSS
	Latest issue
	Current issues
	Archive issues
	What is RSS

Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
	Find

Personal entry:
Login:
Password:
	Save password
	Enter
	Forgotten password?
	Register

Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 3, Pages 53–60 (Mi sjim792)

This article is cited in 13 scientific papers (total in 13 papers)

Estimates of solutions to linear differential equations of neutral type with several delays of argument

G. V. Demidenko^ab, E. S. Vodop'yanov^a, M. A. Skvortsova^ab

^a Sobolev Institute of Mathematics SD RAS, 4 Koptyug av., 630090 Novosibirsk
^b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk

Full-text PDF (209 kB) Citations (13)

References:

PDF

HTML

Abstract: We consider a system of linear differential equations of neutral type with several delays of argument. We obtain conditions on the matrix coefficients of the system under which all its solutions decay exponentially at infinity. Using functionals of Lyapunov–Krasovskii type, we establish uniform estimates of solutions.

Keywords: equations of neutral type, asymptotic stability, Lyapunov–Krasovskii functional.

Received: 22.05.2013

English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 4, Pages 472–479
DOI: https://doi.org/10.1134/S1990478913040030

Bibliographic databases:

Document Type: Article

UDC: 517.929.4

Language: Russian

Citation: G. V. Demidenko, E. S. Vodop'yanov, M. A. Skvortsova, “Estimates of solutions to linear differential equations of neutral type with several delays of argument”, Sib. Zh. Ind. Mat., 16:3 (2013), 53–60; J. Appl. Industr. Math., 7:4 (2013), 472–479

Citation in format AMSBIB

\Bibitem{DemVodSkv13}

\by G.~V.~Demidenko, E.~S.~Vodop'yanov, M.~A.~Skvortsova

\paper Estimates of solutions to linear differential equations of neutral type with several delays of argument

\jour Sib. Zh. Ind. Mat.

\yr 2013

\vol 16

\issue 3

\pages 53--60

\mathnet{http://mi.mathnet.ru/sjim792}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3234773}

\transl

\jour J. Appl. Industr. Math.

\yr 2013

\vol 7

\issue 4

\pages 472--479

\crossref{https://doi.org/10.1134/S1990478913040030}

Linking options:

https://www.mathnet.ru/eng/sjim792

https://www.mathnet.ru/eng/sjim/v16/i3/p53

This publication is cited in the following 13 articles:

T. Yskak, “Stability of Solutions to One Class of Neutral Type Systems of Linear Autonomous Equations with Distributed Delay”, Lobachevskii J Math, 42:14 (2021), 3561
G. V. Demidenko, I. I. Matveeva, Springer Proceedings in Mathematics & Statistics, 379, Functional Differential Equations and Applications, 2021, 145
Yskak T., “Estimates For Solutions of One Class of Systems of Equations of Neutral Type With Distributed Delay”, Sib. Electron. Math. Rep., 17 (2020), 416–427
T. Yskak, “On the stability of systems of linear differential equations of neutral type with distributed delay”, J. Appl. Industr. Math., 13:3 (2019), 575–583
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
G. V. Demidenko, I. I. Matveeva, “Exponential stability of solutions to nonlinear time-delay systems of neutral type”, Electron. J. Differ. Equ., 2016, 19
Demidenko G.V. Matveeva I.I., “Estimates For Solutions to a Class of Nonlinear Time-Delay Systems of Neutral Type”, Electron. J. Differ. Equ., 2015, 34
Demidenko G.V. Matveeva I.I., “Estimates For Solutions to a Class of Time-Delay Systems of Neutral Type With Periodic Coefficients and Several Delays”, Electron. J. Qual. Theory Differ., 2015, no. 83, 1–22
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
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
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
I. I. Matveeva, “Estimates for solutions to one class of nonlinear delay differential equations”, J. Appl. Industr. Math., 7:4 (2013), 557–566
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

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

Сибирский журнал индустриальной математики

Statistics & downloads:
Abstract page:	536
Full-text PDF :	119
References:	64
First page:	15

Registration to the website

Logotypes