Oscillation of systems of impulsive delay hyperbolic equations with high order Laplace operator

The oscillation of the systems of a class of impulsive delay hyperbolic equations with high order Laplace operator is discussed.By using the eigenvalue function method and first order impulsive delay differential inequalities,some sufficient conditions for the oscillation of all solutions of the equations are obtained under two kinds of different boundary value conditions.The results fully reflect the influence action of impulsive and delay in oscillation.