Generalized solution of optimal control problems for hyperbolic systems
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2007), pp. 68-78.

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

@article{IVM_2007_4_a7,
     author = {V. A. Terletskii},
     title = {Generalized solution of optimal control problems for hyperbolic systems},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {68--78},
     publisher = {mathdoc},
     number = {4},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2007_4_a7/}
}
TY  - JOUR
AU  - V. A. Terletskii
TI  - Generalized solution of optimal control problems for hyperbolic systems
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2007
SP  - 68
EP  - 78
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2007_4_a7/
LA  - ru
ID  - IVM_2007_4_a7
ER  - 
%0 Journal Article
%A V. A. Terletskii
%T Generalized solution of optimal control problems for hyperbolic systems
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2007
%P 68-78
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2007_4_a7/
%G ru
%F IVM_2007_4_a7
V. A. Terletskii. Generalized solution of optimal control problems for hyperbolic systems. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (2007), pp. 68-78. http://geodesic.mathdoc.fr/item/IVM_2007_4_a7/

[1] Mikhailov V. P., Differentsialnye uravneniya v chastnykh proizvodnykh, Nauka, M., 1983, 424 pp. | MR

[2] Friedrichs K. O., “The identity of weak and strong extensions of differential operator”, Trans. Amer. Math. Soc., 55 (1944), 132–151 | DOI | MR | Zbl

[3] Friedrichs K. O., “Symmetric positive linear differential equations”, Comm. Pure Appl. Math., 7:2 (1954), 345–392 | DOI | MR | Zbl

[4] Friedrichs K. O., “Symmetric positive linear differential equations”, Comm. Pure Appl. Math., 11 (1958), 333–418 | DOI | MR | Zbl

[5] Lax P. D., Phillips R. S., “Local boundary conditions for dissipative linear differential operators”, Comm. Pure Appl. Math., 13 (1960), 427–455 | DOI | MR | Zbl

[6] Sarason L., “On weak and strong solutions of boundary value problems”, Comm. Pure Appl. Math., 15 (1962), 237–288 | DOI | MR | Zbl

[7] Sarason L., “On boundary value problems for hyperbolic equations”, Comm. Pure Appl. Math., 15 (1962), 373–395 | DOI | MR | Zbl

[8] Phillips R. S., Sarason L., “Singular symmetric first order differential operators”, J. Math. and Mech., 15:2 (1966), 235–271 | MR | Zbl

[9] Vasilev O. V., Srochko V. A., Terletskii V. A., Metody optimizatsii i ikh prilozheniya. Ch. 2. Optimalnoe upravlenie, Nauka, Novosibirsk, 1990, 151 pp. | MR

[10] Petrovskii I. G., Lektsii po teorii obyknovennykh differentsialnykh uravnenii, Nauka, M., 1964, 272 pp. | MR

[11] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii i ikh prilozheniya k gazovoi dinamike, Nauka, M., 1978, 687 pp. | MR

[12] Godunov S. K., Uravneniya matematicheskoi fiziki, Nauka, M., 1979, 392 pp. | MR | Zbl

[13] Levy H., “Über Anfangswertproblem für eine hyperbolische nichtlineare Differentialgleichungen zweiter Ordnung mit zwei unabhängingen Veränderlichen”, Math. Ann., 97 (1927), 179–191

[14] Terletskii V. A., “Obobschennoe reshenie mnogomernykh polulineinykh giperbolicheskikh sistem”, Izv. vuzov. Matematika, 2001, no. 12, 68–76 | MR | Zbl

[15] Khorn R., Dzhonson Ch., Matrichnyi analiz, Mir, M., 1989, 625 pp. | MR

[16] Terletskii V. A., “Obobschennoe reshenie odnomernykh polulineinykh giperbolicheskikh sistem so smeshannymi usloviyami”, Izv. vuzov. Matematika, 2004, no. 12, 75–83 | MR

[17] Terletskii V. A., Obobschennoe reshenie giperbolicheskikh sistem odnomernykh polulineinykh differentsialnykh uravnenii, Seriya: optimizatsiya i upravlenie, 11, Irkutskii gosudarstvennyi universitet, Irkutsk, 2004, 48 pp.