OSCILLATION IN LINEAR-DIFFERENTIAL EQUATIONS WITH CONTINUOUS DISTRIBUTION OF TIME-LAG

The purpose of this paper is to study oscillation of solutions of the following equation [GRAPHICS] where D(k) is-an-element-of B(C[-r, 0], R), k = 0, 1,...,n, r > 0, const, x(t)(s) = x(t + s). Under very generic conditions, we show that the oscillatory property of (1) can be determined from the behavior of the characteristic [GRAPHICS]