[PDF][PDF] On exponential stability of solutions to one class of systems of differential equations of neutral type

GV Demidenko, II Matveeva - Journal of Applied and Industrial …, 2014 - researchgate.net
1. STATEMENT OF THE PROBLEM Consider the systems of linear delay differential
equations of the form d dt (y (t)+ Dy (t− τ))= Ay (t)+ By (t− τ), t> 0,(1.1) where A, B, and D are …

Estimates of the exponential decay of solutions to linear systems of neutral type with periodic coefficients

II Matveeva - Journal of Applied and Industrial Mathematics, 2019 - Springer
We consider the class of linear systems of delay differential equations with periodic
coefficients. Using a special class of Lyapunov–Krasovskiĭ functionals, we establish …

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

GV Demidenko, ES Vodop'yanov… - Journal of Applied and …, 2013 - Springer
Under study is a systemof linear differential equations of neutral type with several delays of
the argument. We obtain the conditions on the matrix coefficients of the system under which …

Asymptotic Properties of Solutions to Systems of Neutral Type Differential Equations with Variable Delay.

M Skvortsova - Journal of mathematical sciences, 2015 - search.ebscohost.com
ASYMPTOTIC PROPERTIES OF SOLUTIONS TO SYSTEMS OF NEUTRAL TYPE
DIFFERENTIAL EQUATIONS WITH VARIABLE DELAY Page 1 Journal of Mathematical …

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

II Matveeva - Computational Mathematics and Mathematical Physics, 2020 - Springer
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 …

Stability of Solutions of Delay Differential Equations

T Yskak - Siberian Advances in Mathematics, 2023 - Springer
In the present article, we consider a class of systems of linear differential equations with
infinite distributed delay and periodic coefficients. We use the Lyapunov–Krasovskiĭ …

On the stability of systems of linear differential equations of neutral type with distributed delay

T Yskak - Journal of Applied and Industrial Mathematics, 2019 - Springer
We consider one class of systems of nonautonomous linear differential equations of neutral
type with distributed delay. We obtain sufficient conditions for the exponential stability of the …

[PDF][PDF] Stability of solutions to linear differential equations of neutral type

GV Demidenko - J. Anal. Appl, 2009 - ns.math.nsc.ru
In the present paper we study stability of solutions to systems of linear differential equations
of neutral type d dt (y (t)+ Dy (t− τ))= Ay (t)+ By (t− τ), t> τ, where A, B, D are n× n numerical …

Stability conditions for linear nonautonomous delay differential equations

SN Busenberg, KL Cooke - Quarterly of applied mathematics, 1984 - ams.org
We derive new sufficient conditions for uniform asymptotic stability of the zero solution of
linear non-autonomous delay differential equations. The equations considered include …

Оценки решений одного класса систем уравнений нейтрального типа с распределенным запаздыванием

ТК Ыскак - Сибирские электронные математические известия, 2020 - mathnet.ru
In the paper we consider a system of linear differential equations of neutral type with
periodic coefficients and with distributed delay. Sufficient conditions for the exponential …