Sufficient conditions are established for the oscillations of systems of hy
perbolic differential equations of the form
partial derivative(2)/partial derivative t(2)(p(t)u(i)(x, t) + Sigma(r=1)(d
) lambda(r)(t)u(i)(x, t-tau(r)))
= a(i)(t)Delta u(i)(x, t) + Sigma(j=1)(m) Sigma(k=1)(s) a(ijk) (t)Delta u(j
-q(i)(x, t)u(i)(x, t) - Sigma(j=1)(m) Sigma(h=1)(l) q(ijh)(x,t)u(j)(x, sigm
(x, t) is an element of Omega x [0, infinity) = G, i = 1, 2, ..., m,
where Omega is a bounded domain in R-n with a piecewise smooth boundary par
tial derivative Omega, and Delta is the Laplacian in Euclidean n-space R-n.
(C) 2000 Academic Press.