Abstract
The oscillations of a class of impulsive vector hyperbolic partial differential equations with delays are studied. Our approach is to reduce the multi-dimensional oscillation problems to the nonexistence of positive solutions of one-dimensional impulsive delay differential inequalities by applying inner product reducing dimension method and differential inequality technique. Some sufficient conditions for H-oscillation of all solutions of the equations under Dirichlet boundary value condition are established, where H denotes a unit vector.
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