Oscillation of solutions of systems of neutral type partial functional differential equations
Sufficient conditions are established for the oscillation of solutions of systems of neutral type partial functional differential equations of the form partial derivative/partial derivativet ( p(t) partial derivative/partial derivativet (u(i)(x,t) + Sigma(r=1)(d) lambda(r)(t)u(i)(x,t - tau(r)(t)) )) = a(i)(t)Deltau(i)(x,t) + Sigma(j=1)(m) Sigma(k=1)(s) a(ijk)(t)Deltau(j)(x,p(k)(t)) - q(i)(x,t)u(i)(x,t) )) - Sigma(j=1)(m) Sigma(h=1)(l) q(ijh)(x,t)u(j)(x, sigma(h)(t)), (x,t) is an element of Omega x [0,infinity) drop G, i = 1,2,...,m, where Omega is a bounded domain in R-n with a piecewise smooth boundary partial derivativeOmega, and Delta is the Laplacian in Euclidean n-space R-n. The obtained results are illustrated by some interesting examples. (C) 2002 Elsevier Science Ltd. All rights reserved.
oscillation neutral functional system of differential equations