By using the properties of asymptotically almost periodic solutions, we establish conditions for existence a positive stable piecewise continuous and solution logistic equation with coefficients nonfixed times impulsive action.

We investigate an impulsive stochastic delay differential equation with Markovian switching. Based on a set of novel L operator inequalities with finite modes and stochastic analysis techniques, some sufficient criteria ensuring the p-moment stability of the zero solution are obtained. Two examples are given to demonstrate the efficiency of proposed results. & 2013 The Franklin Institute. Publi...

Abstract. In this paper, we investigate the existence and controllability of mild solutions for a damped second order impulsive functional differential equation with state-dependent delay in Banach spaces. The results are obtained by using Sadovskii’s fixed point theorem combined with the theories of a strongly continuous cosine family of bounded linear operators. Finally, an example is provide...

In this paper, we consider a class of nonlinear impulsive delay differential equations. By establishing an exponential estimate for delay differential inequality with impulsive initial condition and employing Banach fixed point theorem, we obtain several sufficient conditions ensuring the existence, uniqueness and global exponential stability of a periodic solution for nonlinear impulsive delay...

⎯A novel framework for chaos and its impulsive control in Chua’s oscillator via time-delay feedback is presented. The exponential stability of impulsive control Chua’s oscillator via time-delay feedback is considered, and some novel conditions are obtained. Then a novel impulsive controller design procedure is proposed. Simulation experiments are provided to demonstrate the feasibility and effe...