Geodesic
Solvability of a Mixed Problem with an Integral Condition
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 30-38

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

In the paper, we examine the solvability of a mixed problem with an integral condition for a third-order equation whose principal part contains the wave operator. The existence and uniqueness of a classical solution to this problem are proved by the Riemann method.
Keywords: Riemann function, hyperbolic equation, integral equation, solvability condition.
Mots-clés : Goursat problem, nonlocal condition 
@article{INTO_2018_144_a2,
     author = {O. S. Zikirov and D. K. Kholikov},
     title = {Solvability of a {Mixed} {Problem} with an {Integral} {Condition}},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {30--38},
     publisher = {mathdoc},
     volume = {144},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2018_144_a2/}
}
TY  - JOUR
AU  - O. S. Zikirov
AU  - D. K. Kholikov
TI  - Solvability of a Mixed Problem with an Integral Condition
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2018
SP  - 30
EP  - 38
VL  - 144
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2018_144_a2/
LA  - ru
ID  - INTO_2018_144_a2
ER  - 
%0 Journal Article
%A O. S. Zikirov
%A D. K. Kholikov
%T Solvability of a Mixed Problem with an Integral Condition
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2018
%P 30-38
%V 144
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2018_144_a2/
%G ru
%F INTO_2018_144_a2
O. S. Zikirov; D. K. Kholikov. Solvability of a Mixed Problem with an Integral Condition. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Tome 144 (2018), pp. 30-38. http://geodesic.mathdoc.fr/item/INTO_2018_144_a2/