Some results on the asymptotic behaviour of the equation with a complex-valued function
Some stability and boundedness results for the solutions of certain fourth order differential equations
Sufficient conditions are established for the asymptotic stability of the zero solution of the equation (1.1) with and the boundedness of all solutions of the equation (1.1) with . Our result includes and improves several results in the literature ([4], [5], [8]).
Spatiotemporal Dynamics in a Spatial Plankton System
In this paper, we investigate the complex dynamics of a spatial plankton-fish system with Holling type III functional responses. We have carried out the analytical study for both one and two dimensional system in details and found out a condition for diffusive instability of a locally stable equilibrium. Furthermore, we present a theoretical analysis of processes of pattern formation that involves organism distribution and their interaction of spatially...
Stability analysis and absolute synchronization of a three-unit delayed neural network
In this paper, we consider a three-unit delayed neural network system, investigate the linear stability, and obtain some sufficient conditions ensuring the absolute synchronization of the system by the Lyapunov function. Numerical simulations show that the theoretically predicted results are in excellent agreement with the numerically observed behavior.
Stability analysis in terms of two measures for dynamic systems on time scales.
Stability analysis of fractional differential systems with order lying in .
Stability analysis of nonlinear Lyapunov systems associated with an th order system of matrix differential equations.
Stability analysis of uncertain complex-variable delayed nonlinear systems via intermittent control with multiple switched periods
In this paper, an intermittent control approach with multiple switched periods is proposed for the robust exponential stabilization of uncertain complex-variable delayed nonlinear systems with parameters perturbation, in which the considered complex systems have bounded parametric uncertainties. Based on the Lyapunov stability theory and comparison theorem of differential equations, some stability criteria are established for a class of uncertain complex delayed nonlinear systems with parameters...
Stability and asymptotic equivalence of perturbations of nonlinear systems of differential equations
Stability and asymptotic stability in impulsive semidynamical systems.
Stability and attractivity of solutions of differential equations with impulses at fixed times.
Stability and bifurcation of numerical discretization Nicholson blowflies equation with delay.
Stability and boundedness of controllable continuous flows
In the paper the concept of a controllable continuous flow in a metric space is introduced as a generalization of a controllable system of differential equations in a Banach space, and various kinds of stability and of boundedness of this flow are defined. Theorems stating necessary and sufficient conditions for particular kinds of stability and boundedness are formulated in terms of Ljapunov functions.
Stability and Boundedness of Solutions of a Certain System of Third-order Nonlinear Delay Differential Equations
In this paper a number of known results on the stability and boundedness of solutions of some scalar third-order nonlinear delay differential equations are extended to some vector third-order nonlinear delay differential equations.
Stability and boundedness of solutions of nonlinear vector differential equations of third order
The paper studies the equation in two cases: (i) , (ii) . In case (i), the global asymptotic stability of the solution is studied; in case (ii), the boundedness of all solutions is proved.
Stability and boundedness of solutions to certain fourth-order differential equations.
Stability and boundedness properties of solutions to certain fifth order nonlinear differential equations
Stability and Boundednessof the Solutions of Non Autonomous Third Order Differential Equations with Delay
In this article, we shall establish sufficient conditions for the asymptotic stability and boundedness of solutions of a certain third order nonlinear non-autonomous delay differential equation, by using a Lyapunov function as basic tool. In doing so we extend some existing results. Examples are given to illustrate our results.
Stability and correctness of abstract differential equations in Hilbert spaces
Stability and Non-Linear Approximation for y' (t) = - f(y(t-1)).