Geodesic
On Riemann matrices of the first and second kind
Sbornik. Mathematics, Tome 55 (1986) no. 2, pp. 485-492 Cet article a éte moissonné depuis la source Math-Net.Ru

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A Riemann representation is obtained for the solutions of the Cauchy problem for a first order hyperbolic system in two independent variables, and applications of this construction to the study of the stability and dichotomy of solutions are indicated. The main results of this paper have been announced earlier (see RZh.Mat., 1983, 4B433). Bibliography: 8 titles. 
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R. K. Romanovskii. On Riemann matrices of the first and second kind. Sbornik. Mathematics, Tome 55 (1986) no. 2, pp. 485-492. http://geodesic.mathdoc.fr/item/SM_1986_55_2_a10/

[1] Petrovskii I. G., Lektsii ob uravneniyakh s chastnymi proizvodnymi, GITTL, M., 1953

[2] Massera Kh., Sheffer Kh., Lineinye differentsialnye uravneniya i funktsionalnye prostranstva, Mir, M., 1970 | MR | Zbl

[3] Courant R., Lax P., “The propogation of discontinuities in wafe motion”, Proc. Nat. Acad. Sri. USA, 42:11 (1956), 872–876 | DOI | MR | Zbl

[4] Babich V. M., “Fundamentalnye resheniya giperbolicheskikh uravnenii s peremennymi koeffitsientami”, Matem. sb., 52(94) (1960), 709–738 | Zbl

[5] Romanovskii R. K., “Ob ustoichivosti reshenii zadachi Koshi dlya lineinykh differentsialnykh uravnenii giperbolicheskogo tipa”, DAN SSSR, 163:5 (1965), 1077–1080 | MR | Zbl

[6] Romanovskii R. K., “Ob eksponentsialnoi dikhotomii reshenii uravnenii giperbolicheskogo tipa”, UMN, 31:1 (1976), 259–260 | MR | Zbl

[7] Romanovskii R. K., “Ob eksponentsialnoi dikhotomii reshenii odnogo klassa uravnenii v chastnykh proizvodnykh”, Trudy Vsesoyuznoi konferentsii po uravneniyam v chastnykh proizvodnykh, Izd-vo MGU, M., 1978, 428–429

[8] Romanovskii R. K., “O matritsakh Rimana pervogo i vtorogo roda”, DAN SSSR, 267:3 (1982), 577–580 | MR