Forced oscillation of a class of neutral hyperbolic differential equations

摘要

In this paper, we study the following boundary value problem for a class of neutral hyperbolic differential equations: ∂2∂t2[u+c(t)u(x,t-τ)]=a0(t)Δu+a1(t)Δu(x,t-ρ)-∫abq(x,t,ξ)f(u[x,g(t,ξ)])dμ(ξ)+g(x,t),(x,t)∈Ω×R+≡G,∂u∂N+ν(x,t)u=0,(x,t)∈∂Ω×R+.A number of theorems for oscillatory solutions of the problem under two different cases are developed.