Stability of solutions to delay differential equations with periodic coefficients of linear terms

GV Demidenko, II Matveeva - Siberian Mathematical Journal, 2007 - Springer
Under study are the systems of quasilinear delay differential equations with periodic
coefficients of linear terms. We establish sufficient conditions for the asymptotic stability of …

Estimates of solutions to a class of systems of nonlinear delay differential equations

II Matveeva - Journal of Applied and Industrial Mathematics, 2013 - Springer
Under study are the systems of nonlinear delay differential equations with periodic
coefficients of the linear terms. Some sufficient conditions for the asymptotic stability of the …

Estimates of solutions to differential equations with distributed delay describing the competition of several types of microorganisms

MA Skvortsova, T Yskak - Journal of Applied and Industrial Mathematics, 2022 - Springer
We consider a model of-species competition in a chemostat. This model is a system of
differential equations with infinite distributed delay. The system consists of one equation for …

Asymptotic behavior of solutions in one predator–prey model with delay

MA Skvortsova, T Yskak - Siberian Mathematical Journal, 2021 - Springer
We consider some system of delay differential equations describing the interaction between
predator and prey populations and accounting for the age structure of the predator …

[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 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 behavior of solutions in a model of immune response in plants

MA Skvortsova - Lobachevskii Journal of Mathematics, 2021 - Springer
In the paper we consider a model of immune response in plants described by a system of
differential equations with two delays. The asymptotic behavior of solutions to this system is …

The second Lyapunov method for time-delay systems

GV Demidenko, II Matveeva - International workshop on Functional …, 2019 - Springer
Some classes of systems of delay differential equations are considered. We give a review of
methods for the study of the stability of solutions in the case of constant and periodic …

Asymptotic Properties of Solutions to Delay Differential Equations Describing Plankton—Fish Interaction

MA Skvortsova - Mathematics, 2021 - mdpi.com
We consider a system of differential equations with two delays describing plankton–fish
interaction. We analyze the case when the equilibrium point of this system corresponding to …

Оценки решений дифференциальных уравнений с распределенным запаздыванием, описывающих конкуренцию нескольких видов микроорганизмов

МА Скворцова, ТК Ыскак - Сибирский журнал индустриальной …, 2022 - mathnet.ru
Рассматривается модель конкуренции n видов в хемостате. Данная модель является
системой из n+ 1 дифференциальных уравнений с бесконечным распределённым …