Stability of Linear Dynamic Systems on Time Scales

We examine the various types of stability for the solutions of linear dynamic systems on time scales and give two examples

Total Stability in Nonlinear Discrete Volterra Equations with Unbounded Delay

We study the total stability in nonlinear discrete Volterra equations with unbounded delay, as a discrete analogue of the results for integrodifferential equations by Y. Hamaya (1990)

Almost Periodic Solutions of Nonlinear Discrete Volterra Equations with Unbounded Delay

We study the existence of almost periodic solutions for nonlinear discrete Volterra equations with unbounded delay, as a discrete analogue of the results for integro-differential equations by Y. Hamaya (1993)

Volterra Discrete Inequalities of Bernoulli Type

We obtain the discrete versions of integral inequalities of Bernoulli type obtained in Choi (2007) and give an application to study the boundedness of solutions of nonlinear Volterra difference equations.</p

Stability of Linear Dynamic Systems on Time Scales

We examine the various types of stability for the solutions of linear dynamic systems on time scales and give two examples.</p

Variationally Asymptotically Stable Difference Systems

<p/> <p>We characterize the <it>h</it>-stability in variation and asymptotic equilibrium in variation for nonlinear difference systems via n_&#8734;-summable similarity and comparison principle. Furthermore we study the asymptotic equivalence between nonlinear difference systems and their variational difference systems by means of asymptotic equilibria of two systems.</p

Impulsive Stabilization of Dynamic Equations on Time Scales

In this paper we study the impulsive stabilization of dynamic equations on time scales via the Lyapunov’s direct method. Our results show that dynamic equations on time scales may be ψ-exponentially stabilized by impulses. Furthermore, we give some examples to illustrate our results

Impulsive Stabilization of Dynamic Equations on Time Scales

In this paper we study the impulsive stabilization of dynamic equations on time scales via the Lyapunov&apos;s direct method. Our results show that dynamic equations on time scales may be -exponentially stabilized by impulses. Furthermore, we give some examples to illustrate our results

Stability for Caputo Fractional Differential Systems

We introduce the notion of h-stability for fractional differential systems. Then we investigate the boundedness and h-stability of solutions of Caputo fractional differential systems by using fractional comparison principle and fractional Lyapunov direct method. Furthermore, we give examples to illustrate our results

Variationally Asymptotically Stable Difference Systems

We characterize the h-stability in variation and asymptotic equilibrium in variation for nonlinear difference systems via n∞-summable similarity and comparison principle. Furthermore we study the asymptotic equivalence between nonlinear difference systems and their variational difference systems by means of asymptotic equilibria of two systems