Sentence examples for impulse effects from inspiring English sources

We shall restrict ourselves to the studying of impulsive differential equations for which the impulse effects take part at fixed moments.

Recently, in [27], Li and Nieto obtained some new results of the case that impulse effects on an infinite interval with a finite number of impulsive times.

On the other hand, the readers can also find some recent developments and applications of the case that impulse effects on a finite interval with a finite number of impulsive times to a variety of problems from Nieto and Rodríguez-López [14 16], Jankowski [17 19], Lin and Jiang [20], Ma and Sun [21], He and Yu [22], Feng and Xie [23], Yan [24], Benchohra et al. [25], and Benchohra et al. [26].

But all these papers did not consider the impulse effects.

Impulsive differential systems provide a natural description of observed evolutionary processes with impulse effects.

However, besides impulse effects and delays, stochastic effects likewise exist in real systems.

In addition, this paper is a generalization of [21], in which impulse effects are not involved.

Moreover, the impulse effect considered in this paper including stabilizing impulse and destabilizing impulse.

Dynamical systems with impulse effect are regarded as a class of general hybrid systems.

The mathematical models of such processes are called differential systems with impulse effect.

(a) It follows from condition (H1.2) that if is a moment of impulse effect, then is also a such moment.