Geodesic
On some problems for a loaded parabolic-hyperbolic equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2013), pp. 201-204 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

Some problems with various boundary conditions for the loaded mixed type equation in rectangular area are studied. The criterion of uniqueness is established and theorems of an existence of the solutions to the problems are proved. The solutions are constructed as Fourier series with respect to eigenfunctions of a corresponding one-dimensional problem.
Keywords: loaded equation of mixed type, spectral Method, uniqueness
Mots-clés : existence. 
@article{VSGU_2013_6_a21,
     author = {A. V. Tarasenko},
     title = {On some problems for a loaded parabolic-hyperbolic equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {201--204},
     year = {2013},
     number = {6},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2013_6_a21/}
}
TY  - JOUR
AU  - A. V. Tarasenko
TI  - On some problems for a loaded parabolic-hyperbolic equation
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2013
SP  - 201
EP  - 204
IS  - 6
UR  - http://geodesic.mathdoc.fr/item/VSGU_2013_6_a21/
LA  - ru
ID  - VSGU_2013_6_a21
ER  - 
%0 Journal Article
%A A. V. Tarasenko
%T On some problems for a loaded parabolic-hyperbolic equation
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2013
%P 201-204
%N 6
%U http://geodesic.mathdoc.fr/item/VSGU_2013_6_a21/
%G ru
%F VSGU_2013_6_a21
A. V. Tarasenko. On some problems for a loaded parabolic-hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2013), pp. 201-204. http://geodesic.mathdoc.fr/item/VSGU_2013_6_a21/

[1] Sabitov K. B., “Nachalno-granichnaya zadacha dlya nagruzhennogo uravneniya parabolo-giperbolicheskogo tipa”, Analiticheskie metody analiza i differentsialnykh uravnenii, Tezisy dokladov mezhdunarodnoi konferentsii, Belarus, Minsk, 2009, 142

[2] Sabitov K. B., Rakhmanova L. Kh., “Nachalno-granichnaya zadacha dlya uravneniya smeshannogo tipa v pryamougolnoi oblasti”, Differentsialnye uravneniya, 44:9 (2008), 1175–1181 | MR | Zbl

[3] Fikhtengolts G. M., Kurs differentsialnogo i integralnogo ischisleniya, v. 3, Nauka, M., 1970, 656 pp.