Geodesic
Solution of the non-local problem for the hyperbolic equation in the closed form
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2007), pp. 15-19.

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

The non-local boundary value problem for the degenerate hyperbolic equation in the area $D$, which is the union of two areas in the upper and lower half-planes, is examined. The proof of the existence and uniqueness of this problem solution is reduced to the question of the solvability of the singular integral equation. 
@article{VSGTU_2007_1_a2,
     author = {R. N. Salikhov},
     title = {Solution of the non-local problem for the hyperbolic equation in the closed form},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {15--19},
     publisher = {mathdoc},
     number = {1},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2007_1_a2/}
}
TY  - JOUR
AU  - R. N. Salikhov
TI  - Solution of the non-local problem for the hyperbolic equation in the closed form
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2007
SP  - 15
EP  - 19
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2007_1_a2/
LA  - ru
ID  - VSGTU_2007_1_a2
ER  - 
%0 Journal Article
%A R. N. Salikhov
%T Solution of the non-local problem for the hyperbolic equation in the closed form
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2007
%P 15-19
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2007_1_a2/
%G ru
%F VSGTU_2007_1_a2
R. N. Salikhov. Solution of the non-local problem for the hyperbolic equation in the closed form. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2007), pp. 15-19. http://geodesic.mathdoc.fr/item/VSGTU_2007_1_a2/

[1] Smirnov M. M., Uravneniya smeshannogo tipa, Vyssh. shk., M., 1985 | MR | Zbl

[2] Bitsadze A. V., Nekotorye klassy uravnenii v chastnykh proizvodnykh, Nauka, M., 1981 | MR

[3] Samko S. G., Kilbas A. A., Marichev O. I., Integraly i proizvodnye drobnogo poryadka i nekotorye ikh prilozheniya, Nauka i tekhnika, Minsk, 1987 | MR | Zbl

[4] Saigo M., “A remark on integral operators involving the Gauss hypergeometric functions”, Math. Rep. Kyushu. Univ., 11:2 (1978), 135–143 | MR | Zbl

[5] Saigo M., Kilbas A. A., “Generalized fractional integrals and derivatives in Holder spaces”, Transfom Methods and Special Functions, Sofia 94, Proceeding of International Workshop, Sci. Cult. Tech. Publ., Singapore, 1995, 282–293