Establishment of unified system of oscillation theory concerning zeros of solutions of partial differential equations

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For half-linear elliptic equations with p-Laplacian we established Picone identities, and moreover, Sturmian comparison theorems and oscillation theorems, and so it seems that we completed the unified system. Furthermore, we proceeded to study about equations with p（x)-Laplacians for which we could get great oscillation results.We could obtain sufficient conditions for every solution of functional hyperbolic equations of more general type to oscillate.