Abstract

Sufficient conditions are established for the oscillations of systems of hyperbolic differential equations of the form∂2∂t2ptuix,t+∑r=1dλrtuix,t−τr =aitΔuix,t+∑j=1m∑k=1saijktΔujx,ρkt −qix,tuix,t−∑j=1m∑h=1lqijhx,tujx,σht, x,t∈Ω×0,∞≡G,i=1,2,…,m,where Ω is a bounded domain in Rn with a piecewise smooth boundary ∂Ω, and Δ is the Laplacian in Euclidean n-space Rn.

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