Forced oscillation of a class of neutral hyperbolic differential equations

Authors:
Peiguang Wang;Yonghong Wu;Lou Caccetta
Affiliations:
Department of Mathematics, College of Electronic and Information Engineering, Hebei University, Baoding 071002, PR China;Department of Mathematics and Statistics, Western Australian Centre of Excellence in Industrial Optimization, Curtin University of Technology, Perth, WA 6845, Australia;Department of Mathematics and Statistics, Western Australian Centre of Excellence in Industrial Optimization, Curtin University of Technology, Perth, WA 6845, Australia
Venue:
Journal of Computational and Applied Mathematics
Year:
2005

Citing 3
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Abstract

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) - ∫ab q(x, t, ξ)f(u[x, g(t, ξ)]) dµ(ξ) + g(x, t), (x, t) ∈ Ω × R+ ≡ G, ∂u/∂N + v(x, t)u = 0, (x, t) ∈ ∂Ω × R+. A number of theorems for oscillatory solutions of the problem under two different cases are developed.