Some sufficient conditions are established for the oscillation of a class of neutral parabolic differential equations of the form, ∂N(u(x,t)-∑k=1rλku(x,t-ρk))∂tN-a(t)Δu+∑i= 1npi(x,t)u(x,t-σi)-∑j=1mqj(x,t)u(x,t-τj)+h(t)f(u(x,t-r1),u(x,t-rl) )=0,(x,t)∈Ω×[t0,+∞)≡G,t0∈R+, where N is an odd number, Ω is a bounded domain in RM with a smooth boundary ∂Ω, and Δ is the Laplacian operation with three different boundary conditions. We obtained some new oscillatory conditions for the odd-order neutral parabolic differential equation. To...
