Geodesic
The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2018), pp. 14-18 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this paper, we consider the Goursat problem for a loaded hyperbolic equation with the wave operator in the principal part. We prove the uniqueness and existence of solution for the problem under study, and give the solution in the closed form
Mots-clés : Goursat problem
Keywords: wave operator, hyperbolic equation, loaded differential equation. 
@article{VKAM_2018_3_a0,
     author = {A. H. Attaev},
     title = {The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {14--18},
     year = {2018},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2018_3_a0/}
}
TY  - JOUR
AU  - A. H. Attaev
TI  - The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics
JO  - Vestnik KRAUNC. Fiziko-matematičeskie nauki
PY  - 2018
SP  - 14
EP  - 18
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VKAM_2018_3_a0/
LA  - ru
ID  - VKAM_2018_3_a0
ER  - 
%0 Journal Article
%A A. H. Attaev
%T The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics
%J Vestnik KRAUNC. Fiziko-matematičeskie nauki
%D 2018
%P 14-18
%N 3
%U http://geodesic.mathdoc.fr/item/VKAM_2018_3_a0/
%G ru
%F VKAM_2018_3_a0
A. H. Attaev. The characteristic problem for the second-order hyperbolic equation loaded along one of its characteristics. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 3 (2018), pp. 14-18. http://geodesic.mathdoc.fr/item/VKAM_2018_3_a0/

[1] Nahushev A. M., “O nelokal'nyh kraevyh zadachah so smeshcheniem i ih svyazi s nagruzhennymi uravneniyami”, Differencial'nye uravneniya, 21:1 (1985), 92–102 | MR

[2] Nahushev A. M., “O zadache Darbu dlya odnogo vyrozhdayushchegosya nagruzhennogo integrodifferencial'nogo uravneniya vtorogo poryadka”, Differencial'nye uravneniya, 12:1 (1976), 103–108 | MR | Zbl

[3] Kaziev V. M., “Zadacha Gursa dlya odnogo nagruzhennogo integrodifferencial'nogo uravneniya”, Differencial'nye uravneniya, 17:2 (1981), 313–319 | MR | Zbl

[4] Dzhenaliev M. T., Ramazanov M. I., “O granichnoj zadache dlya nagruzhennogo giperbolicheskogo uravneniya”, Differencial'nye uravneniya i teoriya kolebanij, Tezisy Resp. nauchn. konf. 10-12 oktyabr' 2002, Almaty, 2002, 31–32 | MR

[5] Attaev A. H., “Zadacha Gursa dlya lokal'no-nagruzhennogo uravneniya so stepennym parabolicheskim vyrozhdeniem”, Doklady Adygskoj (CHerkesskoj) Mezhdunarodnoj akademii nauk, 10:2 (2008), 14–17

[6] Attaev A. H., “Zadacha Gursa dlya nagruzhennogo giperbolicheskogo uravneniya”, Doklady Adygskoj (CHerkesskoj) Mezhdunarodnoj akademii nauk, 16:3 (2014), 9–12

[7] Attaev A. H., “Harakteristicheskaya zadacha dlya nagruzhennogo giperbolicheskogo uravneniya s osobym sdvigom”, Doklady Adygskoj (CHerkesskoj) Mezhdunarodnoj akademii nauk, 17:2 (2015), 3–7

[8] Attaev A. H., “Zadacha Gursa dlya nagruzhennogo vyrozhdayushchegosya giperbolicheskogo uravneniya vtorogo poryadka s operatorom Gellerstedta v glavnoj chasti”, Vest. Sam. gos. tekhn. un-ta. Ser. Fiz.- mat. nauki, 20:1 (2016), 1–15