Chaolong Zhang, Weizhen Feng

Oscillations of Higher Order Functional Differential Equations with Impulses

A kind of higher order sub-and super-linear FDE with impulses is studied in this paper. Several criteria on the oscillations of solutions are given. In particular, in the case where the coefficients of equations are positive and continuous functions, we find some suitable impulse functions such that all solutions of the equation are oscillatory under the impulse control.

Higher order, FDE, impulses, oscillation.

MSC 2000: 34A37