On the asymptotic stability of solutions of stochastic differential delay equations of second order
In this paper, we consider a non-linear stochastic differential delay equation (SDDE) of
second order. We derive new sufficient conditions which guarantee stochastically stability …
second order. We derive new sufficient conditions which guarantee stochastically stability …
On the behaviors of solutions of systems of non-linear differential equations with multiple constant delays
O Tunç - Revista de la Real Academia de Ciencias Exactas …, 2021 - Springer
In this paper, non-perturbed and perturbed systems of non-linear differential equations with
multiple constant delays are considered. Five new theorems on the qualitative properties of …
multiple constant delays are considered. Five new theorems on the qualitative properties of …
Qualitative analyses of differential systems with time-varying delays via Lyapunov–Krasovskiĭ approach
In this paper, a class of systems of linear and non-linear delay differential equations (DDEs)
of first order with time-varying delay is considered. We obtain new sufficient conditions for …
of first order with time-varying delay is considered. We obtain new sufficient conditions for …
Exploring dynamics of plant–herbivore interactions: Bifurcation analysis and chaos control with Holling type-II functional response
In this study, we examine the plant–herbivore discrete model of apple twig borer and grape
vine interaction, with a particular emphasis on the extended weak-predator response to …
vine interaction, with a particular emphasis on the extended weak-predator response to …
Qualitative analysis for a variable delay system of differential equations of second order
This paper analyzes the stability, uniformly stability, asymptotically stability, boundedness,
uniformly boundedness and square integrability of solutions of a system of differential …
uniformly boundedness and square integrability of solutions of a system of differential …
Discrete‐Time Predator‐Prey Model with Bifurcations and Chaos
In this paper, local dynamics, bifurcations and chaos control in a discrete‐time predator‐prey
model have been explored in ℝ+ 2. It is proved that the model has a trivial fixed point for all …
model have been explored in ℝ+ 2. It is proved that the model has a trivial fixed point for all …
Stability tests and solution estimates for non-linear differential equations
O Tunç - An International Journal of Optimization and Control …, 2023 - ijocta.org
This article deals with certain systems of delay differential equations (DDEs) and a system of
ordinary differential equations (ODEs). Here, five new theorems are proved on the …
ordinary differential equations (ODEs). Here, five new theorems are proved on the …
Delay-dependent stability, integrability and boundedeness criteria for delay differential systems
This paper deals with non-perturbed and perturbed systems of nonlinear differential systems
of first order with multiple time-varying delays. Here, for the considered systems, easily …
of first order with multiple time-varying delays. Here, for the considered systems, easily …
Stability and boundedness criteria of solutions of a certain system of second order differential equations
This paper provides sufficient conditions for the stability, asymptotic stability, uniform
stability, boundedness and uniformly boundedness of solutions of a certain class of second …
stability, boundedness and uniformly boundedness of solutions of a certain class of second …
Circuit theory approach to stability and passivity analysis of nonlinear dynamical systems
In this paper, we address the problem of global asymptotic stability and strong passivity
analysis of nonlinear time‐varying systems controlled by a second‐order vector differential …
analysis of nonlinear time‐varying systems controlled by a second‐order vector differential …