Mots-clés : system of Euler–Poisson–Darboux equations.
@article{VSGTU_2012_126_1_a1,
author = {E. A. Maksimova},
title = {On {Cauchy} {Problem} for system of $n$ {Euler{\textendash}Poisson{\textendash}Darboux} equations in the plane},
journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
pages = {21--30},
year = {2012},
volume = {126},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGTU_2012_126_1_a1/}
}
TY - JOUR AU - E. A. Maksimova TI - On Cauchy Problem for system of $n$ Euler–Poisson–Darboux equations in the plane JO - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences PY - 2012 SP - 21 EP - 30 VL - 126 IS - 1 UR - http://geodesic.mathdoc.fr/item/VSGTU_2012_126_1_a1/ LA - ru ID - VSGTU_2012_126_1_a1 ER -
%0 Journal Article %A E. A. Maksimova %T On Cauchy Problem for system of $n$ Euler–Poisson–Darboux equations in the plane %J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences %D 2012 %P 21-30 %V 126 %N 1 %U http://geodesic.mathdoc.fr/item/VSGTU_2012_126_1_a1/ %G ru %F VSGTU_2012_126_1_a1
E. A. Maksimova. On Cauchy Problem for system of $n$ Euler–Poisson–Darboux equations in the plane. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, Tome 126 (2012) no. 1, pp. 21-30. http://geodesic.mathdoc.fr/item/VSGTU_2012_126_1_a1/
[1] Andreev A. A., “On a class of systems of differential equations of hyperbolic type”, Partial differential equations, Ryazan. Gos. Ped. Inst., Ryazan, 1980, 9–14 | MR
[2] Andreev A. A, Maksimova E. A., “The solution of the Cauchy problem for one hyperbolic system with singular characteristics”, Proceedings of the Eighth All-Russian Scientific Conference with international participation. Part 3, Matem. Mod. Kraev. Zadachi, SamGTU, Samara, 2011, 11–17
[3] Maksimova E. A., “Solution of the Cauchy problem for system of the Euler–Poisson–Darboux equations”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 2011, no. 3(24), 167–170 | DOI
[4] Tyrtyshnikov E. E., “Matrix analysis and linear algebra”, Fizmatlit, Moscow, 2007, 480 pp.
[5] Bitsadze A. V., Equations of the Mixed Type, Pergamon Press, New York, 1964, 160 pp. | MR | Zbl | Zbl
[6] Lancaster P., Theory of Matrices, Academic Press, New York, 1969, 316 pp. ; Lankaster P., Teoriya matrits, Nauka, M., 1982, 272 pp. | MR | Zbl | MR
[7] Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, eds. M. Abramowitz, I. A. Stegun, Dover, New York, 1972, 824 pp. ; Spravochnik po spetsialnym funktsiyam, eds. M. Abramovits, I. Stigan, Nauka, M., 1979, 832 pp. | MR | MR
[8] Erdélyi A., Magnus W., Oberhettinger F., Tricomi F. G., Higher transcendental functions, v. I, ed. H. Bateman, McGraw-Hill Book Co, Inc., New York – Toronto – London, 1953, 302 pp. ; Beitmen G., Erdeii A., Vysshie transtsendentnye funktsii. V 3-kh t, v. 1, Gipergeometricheskaya funktsiya. Funktsiya Lezhandra, Nauka, M., 1973, 296 pp. | MR | Zbl | MR
[9] Gantmakher F. R., Theory of matrices, Nauka, Moscow, 549 pp. | MR | Zbl