Oscillatory criteria for a class of delay hyperbolic equations boundary value problem. II (Q1294261)

The author obtains oscillation criteria for the solutions of the delay hyperbolic equation \[ {\partial^2\over\partial t^2} [u+ \lambda(t)u(x,t-\tau)]= a(t)\Delta u- p(x,t)u- \int^b_a q(x, t,\xi) u[x, g(t,\xi)] d\sigma(\xi)\quad\text{in }\Omega\times \mathbb{R}_+, \] with one of the boundary conditions \[ u= \phi(x,t),\quad {\partial u\over\partial n}= \psi(x,t)\quad\text{on }\partial\Omega\times \mathbb{R}_+, \] or \[ {\partial u\over\partial n}+ \gamma(x, t)u= 0\quad\text{on }\partial\Omega\times \mathbb{R}_+. \]