Geodesic
On a boundary value problem with nonlocal in time conditions for a one-dimensional hyperbolic equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2013), pp. 31-39 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In this article, the boundary value problem for hyperbolic equation with nonlocal initial data in integral form is considered. Existence and uniqueness of generalized solution are proved.
Keywords: hyperbolic equation, generalized solution.
Mots-clés : non-local conditions 
@article{VSGU_2013_6_a3,
     author = {S. V. Kirichenko},
     title = {On a boundary value problem with nonlocal in time conditions for a one-dimensional hyperbolic equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {31--39},
     year = {2013},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2013_6_a3/}
}
TY  - JOUR
AU  - S. V. Kirichenko
TI  - On a boundary value problem with nonlocal in time conditions for a one-dimensional hyperbolic equation
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2013
SP  - 31
EP  - 39
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/VSGU_2013_6_a3/
LA  - ru
ID  - VSGU_2013_6_a3
ER  - 
%0 Journal Article
%A S. V. Kirichenko
%T On a boundary value problem with nonlocal in time conditions for a one-dimensional hyperbolic equation
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2013
%P 31-39
%N 6
%U http://geodesic.mathdoc.fr/item/VSGU_2013_6_a3/
%G ru
%F VSGU_2013_6_a3
S. V. Kirichenko. On a boundary value problem with nonlocal in time conditions for a one-dimensional hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2013), pp. 31-39. http://geodesic.mathdoc.fr/item/VSGU_2013_6_a3/

[1] Samarskii A. A., “O nekotorykh problemakh sovremennoi teorii differentsialnykh uravnenii”, Differents. uravneniya, 16:11 (1980), 1925–1935 | MR

[2] Gordeziani D. G., Avalishvili G. A., “Resheniya nelokalnykh zadach dlya odnomernykh kolebanii sredy”, Matem. modelir., 12:1 (2000), 94–103 | MR | Zbl

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

[4] Pulkina L. S., “Kraevye zadachi dlya giperbolicheskogo uravneniya s nelokalnymi usloviyami 1 i 2-go roda”, Izvestiya vuzov. Ser.: Matematika, 2012, no. 4, 74–83

[5] Pulkina L. S., “Nelokalnaya zadacha dlya giperbolicheskogo uravneniya s integralnymi usloviyami 1 roda s yadrami, zavisyaschimi ot vremeni”, Izvestiya vuzov. Ser.: Matematika, 2012, no. 10, 32–44

[6] Kuz A. M., Ptashnik B. I., “t Zadacha z integralnimi umovami dlya rivnyannya Kleina–Gordona u klassi funktsii, maizhe periodichnikh za prostorovimi zminnimi”, Prikl. problemi mekh. i mat., 2010, no. 8, 41–53 | MR

[7] Abdrakhmanov A. M., Kozhanov A. I., “Zadacha s nelokalnym granichnym usloviem dlya odnogo klassa uravnenii nechetnogo poryadka”, Izvestiya vuzov. Ser.: Matematika, 2007, no. 5, 3–12

[8] Lukina G. A., “Kraevye zadachi s integralnymi granichnymi usloviyami po vremeni dlya uravnenii tretego poryadka”, Matem. zametki YaGU, 17:2 (2010), 75–97 | Zbl

[9] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 | MR