Geodesic
On certain initial-boundary value problems with nonlineal boundary conditions for hyperbolic equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 22-30 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper, we study the solvability of a problem for a nonlinear hyperbolic equation with a nonlinear boundary conditions. The unique solvability is proved.
Keywords: hyperbolic equation, nonlinear boundary conditions, generalized solution, unique solvability. 
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N. V. Beylina. On certain initial-boundary value problems with nonlineal boundary conditions for hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 22-30. http://geodesic.mathdoc.fr/item/VSGU_2012_9_a2/

[1] Pulkina L. S., “Zadachi s nelineinymi granichnymi usloviyami dlya giperbolicheskogo uravneniya”, Trudy Matematicheskogo instituta im. V. A. Steklova, 278, 2012, 208–216

[2] Pulkina L. S., Strigun M. V., “Dve nachalno-kraevye zadachi s nelineinymi granichnymi usloviyami dlya odnomernogo giperbolicheskogo uravneniya”, Vestnik SamGU. Estestvennonauchnaya seriya, 2011, no. 2(83)

[3] Tikhonov A. N., Samarskii A. A., Uravneniya matematicheskoi fiziki, Nauka, M., 1972, 735 pp. | MR

[4] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973, 408 pp. | MR

[5] Gording L., Zadacha Koshi dlya giperbolicheskikh uravnenii, Inostr. lit., M., 1961, 120 pp.

[6] Kolmogorov A. N., Fomin S. V., Elementy teorii funktsii i funktsionalnogo analiza, Nauka, M., 1972, 496 pp. | MR

[7] Lions Zh.-L., Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972, 588 pp. | MR