Matematičeskoe modelirovanie, Tome 6 (1994) no. 6, pp. 22-31
Citer cet article
A. V. Bitsadze. On structural properties of solutions of hyperbolic systems of partial differential equations of the first order. Matematičeskoe modelirovanie, Tome 6 (1994) no. 6, pp. 22-31. http://geodesic.mathdoc.fr/item/MM_1994_6_6_a4/
@article{MM_1994_6_6_a4,
author = {A. V. Bitsadze},
title = {On structural properties of solutions of hyperbolic systems of partial differential equations of the first order},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {22--31},
year = {1994},
volume = {6},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1994_6_6_a4/}
}
TY - JOUR
AU - A. V. Bitsadze
TI - On structural properties of solutions of hyperbolic systems of partial differential equations of the first order
JO - Matematičeskoe modelirovanie
PY - 1994
SP - 22
EP - 31
VL - 6
IS - 6
UR - http://geodesic.mathdoc.fr/item/MM_1994_6_6_a4/
LA - ru
ID - MM_1994_6_6_a4
ER -
%0 Journal Article
%A A. V. Bitsadze
%T On structural properties of solutions of hyperbolic systems of partial differential equations of the first order
%J Matematičeskoe modelirovanie
%D 1994
%P 22-31
%V 6
%N 6
%U http://geodesic.mathdoc.fr/item/MM_1994_6_6_a4/
%G ru
%F MM_1994_6_6_a4
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).
