Abstract
Consider the first-order linear differential equation with several retarded arguments
chi'(t) + (n)Sigma(k-1) p(k)(t)chi(tau(k)(t)) = 0, t >= t0,
where the functions p(k), tau(k) is an element of C([t(0),infinity), R+), tau(k)(t) < t for t >= t(0) and lim(t ->infinity) tau(k)(t) = infinity, for every k = 1, 2, ..., n. Oscillation conditions which essentially improve known results in the literature are established. An example illustrating the results is given.