[PDF][PDF] Exponential stability of solutions to nonlinear time-varying delay systems of neutral type equations with periodic coefficients

I Matveeva - 2020 - digital.library.txstate.edu
We consider a class of nonlinear time-varying delay systems of neutral type differential
equations with periodic coefficients in the linear terms, d/dt y (t)= A (t) y (t)+ B (t) y (t-τ (t))+ C …

[PDF][PDF] Estimates for solutions to a class of time-delay systems of neutral type with periodic coefficients and several delays

G Demidenko, I Matveeva - Electronic Journal of Qualitative Theory of …, 2015 - real.mtak.hu
We consider a class of nonlinear time-delay systems of neutral type with periodic coefficients
in linear terms and several delays. We establish conditions under which the zero solution is …

On exponential stability of solutions to periodic neutral-type systems

II Matveeva - Siberian Mathematical Journal, 2017 - Springer
ON EXPONENTIAL STABILITY OF SOLUTIONS TO PERIODIC NEUTRAL-TYPE SYSTEMS
Page 1 Siberian Mathematical Journal, Vol. 58, No. 2, pp. 264–270, 2017 Original Russian Text …

Estimates for solutions to neutral differential equations with periodic coefficients of linear terms

GV Demidenko, II Matveeva, MA Skvortsova - Siberian Mathematical …, 2019 - Springer
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 …

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 …

Estimates for solutions to a class of nonautonomous systems of neutral type with unbounded delay

II Matveeva - Siberian Mathematical Journal, 2021 - Springer
Under consideration is the class of nonlinear systems of nonautonomous differential
equations of neutral type with a variable delay that can be unbounded. Using a Lyapunov …

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 …

[HTML][HTML] Asymptotic stability of solutions to a class of second-order delay differential equations

GV Demidenko, II Matveeva - Mathematics, 2021 - mdpi.com
We consider a class of second-order nonlinear delay differential equations with periodic
coefficients in linear terms. We obtain conditions under which the zero solution is …

[PDF][PDF] Exponential stability of solutions to nonlinear time-delay systems of neutral type

G Demidenko, I Matveeva - 2016 - digital.library.txstate.edu
We consider a nonlinear time-delay system of neutral equations with constant coefficients in
the linear terms d/dt (y (t)+ Dy (t-τ))= Ay (t)+ By (t-τ)+ F (t, y (t), y (t-τ)), where‖ F (T, u, v)‖≤ …

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 …