The distribution of zeros of solutions for a class of neutral delay differential equations

摘要

In this paper, the distribution of zeros of solutions of neutral differential equations [x(t) - cx(t-gamma)]' + P(t)x(t - tau) = 0, where c > 0, tau, gamma > 0 and P is an element of C([t(0), + infinity), R +), are studied, and some estimates for the distance between adjacent zeros of the oscillatory solutions of the above equation are obtained. (c) 2006 Elsevier Inc. All rights reserved.