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Matematicheskoe modelirovanie, 1994, Volume 6, Number 6, Pages 22–31
(Mi mm1875)
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This article is cited in 10 scientific papers (total in 10 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).
Citation:
A. V. Bitsadze, “On structural properties of solutions of hyperbolic systems of partial differential equations of the first order”, Matem. Mod., 6:6 (1994), 22–31
Linking options:
https://www.mathnet.ru/eng/mm1875 https://www.mathnet.ru/eng/mm/v6/i6/p22
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Abstract page: | 343 | Full-text PDF : | 163 | First page: | 1 |
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