On certain nonlocal problem with integral boundary condition for hyperbolic equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2009), pp. 78-87

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

In this paper, we consider mixed problem for hyperbolic equation with nonlocal boundary condition involving an integral of required solution. The existence and uniqueness of the generalized solution are established.
Keywords: hyperbolic equation, nonlocal problem, integral condition.
M. V. Strigun. On certain nonlocal problem with integral boundary condition for hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 8 (2009), pp. 78-87. http://geodesic.mathdoc.fr/item/VSGU_2009_8_a7/
@article{VSGU_2009_8_a7,
     author = {M. V. Strigun},
     title = {On certain nonlocal problem with integral boundary condition for hyperbolic equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {78--87},
     year = {2009},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_8_a7/}
}
TY  - JOUR
AU  - M. V. Strigun
TI  - On certain nonlocal problem with integral boundary condition for hyperbolic equation
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2009
SP  - 78
EP  - 87
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/VSGU_2009_8_a7/
LA  - ru
ID  - VSGU_2009_8_a7
ER  - 
%0 Journal Article
%A M. V. Strigun
%T On certain nonlocal problem with integral boundary condition for hyperbolic equation
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2009
%P 78-87
%N 8
%U http://geodesic.mathdoc.fr/item/VSGU_2009_8_a7/
%G ru
%F VSGU_2009_8_a7

[1] Kozhanov A. I., Pulkina L. S., “O razreshimosti kraevykh zadach s nelokalnym granichnym usloviem integralnogo vida dlya mnogomernykh giperbolicheskikh uravnenii”, Differentsialnye uravneniya, 42:9 (2006), 1166–1179 | MR | Zbl

[2] Pulkina L. S., “Smeshannaya zadacha s integralnym usloviem dlya giperbolicheskogo uravneniya”, Matematicheskie zametki, 74:3 (2003), 435–445 | DOI | MR

[3] Kozhanov A. I., “Ob odnoi nelokalnoi kraevoi zadache s peremennymi koeffitsientami dlya uravnenii teploprovodnosti i Allera”, Differentsialnye uravneniya, 40:6 (2004), 763–774 | MR | Zbl

[4] Mikhlin S. G., Lektsii po lineinym integralnym uravneniyam, M., 1959, 232 pp. | MR

[5] Dmitriev V. B., “Nelokalnaya zadacha s integralnym usloviem dlya uravneniya giperbolicheskogo tipa”, Vestnik SamGTU, 42 (2006), 35–40

[6] Pulkina L. S., “Differentsialnye uravneniya v chastnykh proizvodnykh”, Izdatelstvo “Samarskii universitet”, Samara, 2004, 140 pp.

[7] Filatov O. P., Lektsii po obyknovennym differentsialnym uravneniyam, Izdatelstvo “Samarskii universitet”, Samara, 1999, 210 pp.