Oscillation for Forced Second-Order Impulsive Nonlinear Dynamic Equations on Time Scales

Abstract EN

As the unification and development of impulsive differential equations and difference equations, impulsive dynamic equations on time scales are a powerful tool to simulate the natural and social phenomena.

In this paper, we study the interval oscillation of a type of forced second-order nonlinear impulsive dynamic equations with changing signs coefficients.

By using the Riccati transformation technique, we obtain some new interval oscillation criteria, based only on information of a sequence of subintervals of positive axis.

In addition, we provide an example to illustrate the use of our oscillatory results.