Oscillation of higher order impulsive differential equations of mixed type with constant argument at fixed time

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Abstract

This paper studies the oscillation of a kind of impulsive differential equation of mixed type with piecewise constant argument, and some oscillation criteria about this kind of impulsive differential equation are obtained. The effect of initial value problems upon the oscillation of solutions is stressed. Finally examples are given to illustrate our results.

Keywords

Oscillation
Impulsive differential equations
Mixed type
Fixed time

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Supported by the National Natural Science foundation of China (10571111).