Abstract
The impulsive dierential equation x 0 (t) + m X i=1 pi(t)x(t A ui) = 0; t 6 ok; x(ok) = bkx(ok) with several retarded arguments is considered, where pi(t) i 0; 1 + bk > 0 for i = 1;:::;m; t i 0; k 2 N: Sucient conditions for the oscillation of all solutions of this equation are found. x 1. Introduction In the past two decades the number of investigations of the oscillatory and nonoscillatory behavior of solutions of functional dierential equations has been growing constantly. The greater part of works on this subject pub- lished up to 1977 are given in (1). In the monographs (2) and (3), published in 1987 and 1991 respectively, the oscillatory and asymptotic properties of solutions of various classes of functional dierential equations are system- atically studied. The Þrst work in which the oscillatory properties of impulsive dierential equations with retarded argument of the form x 0 (t) + p(t)x(t A u) = 0; t 6 tk; x(tk) = bkx(tk) (E)
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