Stability and asymptotic behaviour of a two-dimensional differential system with delay

J Kalas, L Baráková - Journal of mathematical analysis and applications, 2002 - Elsevier
In this paper we study stability and asymptotic behaviour of a real two-dimensional system
x′(t)= A (t) x (t)+ B (t) x (t− r)+ h (t, x (t), x (t− r)), where r> 0 is a constant delay, A, B and h …

Asymptotic behaviour of a two‐dimensional differential system with non‐constant delay

J Kalas - Mathematische Nachrichten, 2010 - Wiley Online Library
The asymptotic behaviour and stability properties are studied for a real two‐dimensional
system x′(t)= A (t) x (t)+ B (t) x (θ (t))+ h (t, x (t), x (θ (t))), with a nonconstant delay t‐θ (t)≥ 0 …

Asymptotic behaviour of a two-dimensional differential system with delay under the conditions of instability

J Kalas - Nonlinear Analysis: Theory, Methods & Applications, 2005 - Elsevier
The asymptotic behaviour of the solutions of a real two-dimensional system x′= A (t) x (t)+ B
(t) x (tr)+ h (t, x (t), x (tr)), where r> 0 is a constant delay, is studied under the assumption of …

Stability and asymptotic properties of a system of functional differential equations with nonconstant delays

J Rebenda, Z Šmarda - Applied mathematics and Computation, 2013 - Elsevier
The asymptotic properties of a real two-dimensional differential system x′(t)= A (t) x (t)+∑
k= 1mBk (t) x (θk (t))+ h (t, x (t), x (θ1 (t)),…, x (θm (t))) with unbounded nonconstant delays t …

Asymptotic properties of an unstable two-dimensional differential system with delay

J Kalas - Mathematica Bohemica, 2006 - dml.cz
The asymptotic behaviour of the solutions is studied for a real unstable two-dimensional
system $ x^{\prime}(t)={\mathsf A}(t) x (t)+{\mathsf B}(t) x (tr)+ h (t, x (t), x (tr)) $, where $ r> 0 …

[PDF][PDF] Asymptotic properties of solutions of real two-dimensional differential systems with a finite number of constant delays

J Rebenda - Memoirs on Differential Equations and Mathematical …, 2007 - emis.de
Memoirs on Differential Equations and Mathematical Physics ASYMPTOTIC PROPERTIES OF
SOLUTIONS OF REAL TWO-DIMENSIONAL DIFFERENTI Page 1 Memoirs on Differential …

On the Asymptotic Stability of Solutions of Nonlinear Delay Differential Equations.

C Tunç, A Yiğit - Journal of Mathematical Sciences, 2022 - search.ebscohost.com
A nonlinear system of delay differential equations (DDEs) is considered. We obtain some
new results on the asymptotic stability of a zero solution of the considered system by using …

Stability and boundedness properties of solutions of certain system of third order delay differential equation: Stability and boundedness properties of solutions of …

AA Adeyanju - Journal of the Nigerian Mathematical Society, 2022 - ojs.ictp.it
This paper is concerned with certain system of third order delay differential equation. By
using a suitable Lyapunov-Krasovskii functional as a tool, we investigate conditions for the …

On the stability of solutions of certain fourth order delay differential equations

AI Sadek - Applied mathematics and computation, 2004 - Elsevier
On the stability of solutions of certain fourth order delay differential equations - ScienceDirect
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[PDF][PDF] Global stability and boundedness of solutions to differential equations of third order with multiple delays

C Tunc - Dynam. Systems Appl, 2015 - dynamicpublishers.com
In this paper, the author gives certain sufficient conditions for the global asymptotic stability
and boundedness of solutions to a class of functional differential equations of third order …