Geodesic
To the question of solvability of the Cauchy problem for one loaded hyperbolic equation of the second order
News of the Kabardin-Balkar scientific center of RAS, no. 6-1 (2018), pp. 5-9

Voir la notice de l'article provenant de la source Math-Net.Ru

In this paper, the object of study is a one-dimensional loaded wave equation with a load propagating along one of its characteristics. For it, the Cauchy problem with data on one of the characteristics is posed and its unambiguous solvability is proved. It is shown, that the characteristics of this equation as Cauchy data carriers are unequal. The areas of dependence, influence and definition of initial data, which are set on the characteristic y=x, are described.
Keywords: cauchy's task, the wave equation, the loaded equation. 
@article{IZKAB_2018_6-1_a0,
     author = {A. H. Attaev},
     title = {To the question of solvability of the {Cauchy} problem for one loaded hyperbolic equation of the second order},
     journal = {News of the Kabardin-Balkar scientific center of RAS},
     pages = {5--9},
     publisher = {mathdoc},
     number = {6-1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IZKAB_2018_6-1_a0/}
}
TY  - JOUR
AU  - A. H. Attaev
TI  - To the question of solvability of the Cauchy problem for one loaded hyperbolic equation of the second order
JO  - News of the Kabardin-Balkar scientific center of RAS
PY  - 2018
SP  - 5
EP  - 9
IS  - 6-1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IZKAB_2018_6-1_a0/
LA  - ru
ID  - IZKAB_2018_6-1_a0
ER  - 
%0 Journal Article
%A A. H. Attaev
%T To the question of solvability of the Cauchy problem for one loaded hyperbolic equation of the second order
%J News of the Kabardin-Balkar scientific center of RAS
%D 2018
%P 5-9
%N 6-1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IZKAB_2018_6-1_a0/
%G ru
%F IZKAB_2018_6-1_a0
A. H. Attaev. To the question of solvability of the Cauchy problem for one loaded hyperbolic equation of the second order. News of the Kabardin-Balkar scientific center of RAS, no. 6-1 (2018), pp. 5-9. http://geodesic.mathdoc.fr/item/IZKAB_2018_6-1_a0/