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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

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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