THE CAUCHY PROBLEM FOR A HIGHER ORDER TELEGRAPH EQUATION


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Abstract

Using the integral operator that defines a solution of the Cauchy problem for the equation Lnu = □nu + a1n−1u + … + anu = f(x,y), we find an integral representation for solutions of the equation (□ + k)nu = f(x,y) in terms of arbitrary functions that are continuously differentiable sufficiently many times.

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