This article is cited in 11 papers

The 8th Scientific Conference "Modern Problems of Computational Mathematics" (Moscow, February, 21–23, 1994)

On structural properties of solutions of hyperbolic systems of partial differential equations of the first order

A. V. Bitsadze

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: The formula is found for integral representation of solutions of the system \[ \begin{aligned} \frac{\partial u}{\partial x}+\frac{\partial u^*}{\partial t}&=au+a^*u^*+f,
\frac{\partial u}{\partial t}+\frac{\partial u^*}{\partial x}&=bu+b^*u^*+f^*. \end{aligned} \tag{1} \] This integral representation permits to establish structural properties of the solutions of the system (1).

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