Oscillation for a class of odd-order delay parabolic differential equations

Some sufficient conditions and some sufficient and necessary conditions are established for the oscillation of a class of odd-order delay parabolic differential equations of the form [GRAPHICS] where N is an odd integer, Omega is a bounded domain in R-M with a smooth boundary deltaOmega, and Delta is the Laplacian operation with three different boundary conditions. To some extent, our results extended and improved the oscillatory results of some references. Meanwhile, we corrected some mistakes in a main conclusion of reference. (C) 2004 Elsevier B.V. All rights reserved.