Existence of nonoscillatory solutions of higher order partial difference equations of neutral type

In this paper we consider the higher order partial difference equation of neutral typeDelta(n)(h)Delta(m)(r)(y(m, n) + cy(m - k, n - l)) + Sigma(s=1)(u)p(s)(m, n)y(m - tau(s), n- q(s)) = f(m, n) ((*))where h, r, u is an element of N(1), k, l, tau(s), sigma(s) is an element of N(0), c is an element of R and p(s), f : N(m(0)) x N(n(0)) -- R, s = 1, 2, (...), u. We obtain a global result (with respect to c) in the case when {p, (m, n)} (s = 1, 2,(...), u) and {f(m, n)} can be oscillatory, which is a sufficient condition for the existence of a nonoscillatory solution of equation ((*)).