The Cauchy Problem for a Higher Order Telegraph Equation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The Cauchy Problem for a Higher Order Telegraph Equation

Authors:

I. M. Aleksandrovich M. V. Sidorov

Abstract:

Using the integral operator that defines a solution of the Cauchy problem for the equation

$L_n u = square ^n u + a_1 square ^{n - 1} u + cdot cdot cdot + a_n u = f(x,y),$

we find an integral representation for solutions of the equation

in terms of arbitrary functions that are continuously differentiable sufficiently many times.

Keywords:

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