OSCILLATIONS OF 1ST-ORDER NEUTRAL DIFFERENTIAL-EQUATIONS WITH VARIABLE-COEFFICIENTS

[摘要] Consider the first-order neutral delay differential equation d/dt [x(t) - P(t) x(t - tau)] + Q(t) x(t - delta(t)) = 0, t greater-than-or-equal-to t0, where tau > 0, P, Q, delta is-an-element-of C([t0, infinity), R+), and lim(t --> infinity) (t - delta(t)) = infinity. First we obtain a necessary and sufficient condition for the oscillation of all solutions of this equation. And then some applications of this result are listed. Our results can improve many known results in the literature. (C) 1994 Academic Press, Inc.

[发布日期] 1994-07-15