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Licensed Unlicensed Requires Authentication Published by De Gruyter June 4, 2010

Oscillatory Properties of the Solutions of Impulsive Differential Equations with Retarded Argument and Oscillating Coefficients

D. D. Bainov, M. B. Dimitrova and P. S. Simeonov
From the journal

Abstract

The impulsive equation with retarded argument

x′(t) + a(t)x(t) + p(t)x(t – τ) = 0, ttk,

Δx(tk) + akx(tk) + pkx(tk – τ) = 0,

is considered, where the function p(t) and the sequence {pk} are not of constant sign. Sufficient conditions are found for oscillation of all solutions to the equation under consideration.

Received: 1997-06-05
Revised: 1997-11-04
Published Online: 2010-06-04
Published in Print: 1998-June

© Heldermann Verlag

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