Non-local problem with integral conditions for hyperbolic equation in characteristic rectangle
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2009), pp. 80-88
In this paper, the existence of the unique solution of the non-local problem with integral conditions for hyperbolic equation in characteristic rectangle is proved.
Keywords:
non-local problems, integral conditions.
@article{VSGU_2009_2_a6,
author = {L. S. Pulkina and O. M. Kechina},
title = {Non-local problem with integral conditions for hyperbolic equation in characteristic rectangle},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {80--88},
year = {2009},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2009_2_a6/}
}
TY - JOUR AU - L. S. Pulkina AU - O. M. Kechina TI - Non-local problem with integral conditions for hyperbolic equation in characteristic rectangle JO - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ PY - 2009 SP - 80 EP - 88 IS - 2 UR - http://geodesic.mathdoc.fr/item/VSGU_2009_2_a6/ LA - ru ID - VSGU_2009_2_a6 ER -
%0 Journal Article %A L. S. Pulkina %A O. M. Kechina %T Non-local problem with integral conditions for hyperbolic equation in characteristic rectangle %J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ %D 2009 %P 80-88 %N 2 %U http://geodesic.mathdoc.fr/item/VSGU_2009_2_a6/ %G ru %F VSGU_2009_2_a6
L. S. Pulkina; O. M. Kechina. Non-local problem with integral conditions for hyperbolic equation in characteristic rectangle. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 2 (2009), pp. 80-88. http://geodesic.mathdoc.fr/item/VSGU_2009_2_a6/
[1] Nakhusheva Z. A., “Ob odnoi nelokalnoi zadache dlya uravnenii v chastnykh proizvodnykh”, Differentsialnye uravneniya, 1986, no. 1, 171–174 | MR | Zbl
[2] Mikhlin S. G., Lektsii po lineinym integralnym uravneniyam, Fizmatgiz, M., 1959, 232 pp. | MR
[3] Pulkina L. S., “O razreshimosti v $L_2$ nelokalnoi zadachi s integralnymi usloviyami dlya giperbolicheskogo uravneniya”, Differentsialnye uravneniya, 2000, no. 2, 279–280 | MR
[4] Kechina O. M., Pulkina L. S., “O razreshimosti odnoi nelokalnoi zadachi dlya giperbolicheskogo uravneniya”, Differentsialnye uravneniya i smezhnye problemy, tr. mezhdunarodnoi nauchnoi konferentsii, v. 1, Gilem, Ufa, 2008, 120–122