Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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INTEGRAL REPRESENTATIONS OF THE SOLUTION OF SOME HYPERBOLIC SYSTEMS WITH DEGENERATE COEFFICIENTS AND THEIR APPLICATIONS

HOANG DINH ZUNG

pp. 153-162

Abstract

The aim of the present paper is to establish the integral representations and the inversion formulas for a new class of function which will be called $(p, q)$-wave functions. The results are used to solve some boundary value problems for these functions.