Georgian Mathematical Journal 13 (2006), No. 3, 585--598
Copyright Heldermann Verlag 2006
Oscillations of Higher Order Functional Differential Equations with Impulses
Chaolong Zhang
Dept. of Computation Science, Zhongkai University of Agriculture and Technology, Guangzhou 510225, P. R. China
zhcl88@126.com
Weizhen Feng
Dept. of Mathematics, South China Normal University, Guangzhou 510631, P. R. China
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.
Keywords: Higher order, FDE, impulses, oscillation.
MSC: 34A37
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