Abstract
Consider the system of neutral delay differential equations
d/dt (x(t) + px(t - tau)) + Q(t)x(t - sigma) = 0,
where p is an element of R, tau is an element of (0, infinity), sigma is an element of [0, infinity] and Q is continuous matrix, and the. system
d/dt (x(t) + Bx(t - tau)) + Q(t)x(t - sigma) = 0,
where B is a matrix.
We obtain the sufficient condition for the existence of certain types of solutions of the above equation to be integral(infinity) parallel toQ(s)parallel to ds < infinity for p not equal -1. (C) 2003 Elsevier Science Ltd, All rights reserved.