Many evolution processes are characterized by the fact that at certain moments of time they experience a change of state abruptly. Consequently, it is natural to assume that these perturbations actâ€¦ (More)

In this paper we investigate the existence of solutions to a kind of fourth-order impulsive differential equations with integral boundary value conditions. By employing the Schauder fixed pointâ€¦ (More)

and Applied Analysis 3 One can see that boundary equilibrium E 2 , if exists, is an unstable hyperbolic node. The Jacobian matrix of system (4) at E 3 is

* Correspondence: ypxingjason@hotmail.com College of Mathematics and Science, Shanghai Normal University, Shanghai 200234, P.R. China Full list of author information is available at the end of theâ€¦ (More)

and Applied Analysis 3 Lemma 7. Assume that conditions (H1), (H2) hold. Suppose that x(t, t0, x0) is a solution of (1) satisfying initial value x(t + 0 ) = x0. Then âˆ’x(t + T, t0, x0) is also aâ€¦ (More)

In the present paper, a bidirectional associative memory (BAM) neural networks with time delays is studied. Without strict conditions imposed on self regulation functions, some new sufficientâ€¦ (More)

In this work, a new approach to stability theory of impulsive functional differential equations is proposed. Instead of putting all components of the state variable x in one Liapunov function,â€¦ (More)

This paper considers existence of solutions for a class of first order functional differential equation with anti-periodic boundary value conditions. We introduce new concept of lower and upperâ€¦ (More)