Non-local Problem with Non-linear Conditions For a Hyperbolic Equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2009), pp. 26-32.

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Non-local problem with non-linear integral condition for the hyperbolic equation with random size space variables is studied. Existence of the unique generalized solution is proved.
Keywords: non-local problem, nonlinear conditions, hyperbolic equation, generalized solution.
Mots-clés : estimation
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V. B. Dmitriev. Non-local Problem with Non-linear Conditions For a Hyperbolic Equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2009), pp. 26-32. http://geodesic.mathdoc.fr/item/VSGTU_2009_1_a2/

[1] Pulkina L. S., “Smeshannaya zadacha s integralnym usloviem dlya giperbolicheskogo uravneniya”, Matem. zametki, 74:3 (2003), 435–445 | DOI | MR | Zbl

[2] Pulkina L. S., “Nelokalnaya zadacha s integralnymi usloviyami dlya giperbolicheskogo uravneniya”, Differents. uravneniya, 40:7 (2004), 887–892 | MR | Zbl

[3] Gordeziani D. G., Avalishvili G. A., “Resheniya nelokalnykh zadach dlya odnomernykh kolebanii sredy”, Matemat. modelirovanie, 12:1 (2000), 94–103 | MR | Zbl

[4] Kozhanov A. I., Pulkina L. S., “O razreshimosti kraevykh zadach s nelokalnym granichnym usloviem integralnogo vida dlya mnogomernykh giperbolicheskikh uravnenii”, Dokl. RAN, 404:5 (2005), 589–592 | MR | Zbl

[5] Dmitriev V. B., “Nelokalnaya zadacha s integralnymi usloviyami dlya volnovogo uravneniya”, Vestn. SamGU. Estestvennonauchn. ser., 2006, no. 2(42), 15–27 | MR

[6] Gording L., Zadacha Koshi dlya giperbolicheskikh uravnenii, Inostr. lit-ra, M., 1961, 122 pp.

[7] Pontryagin L. S., Obyknovennye differentsialnye uravneniya, izd. 4-e, Nauka, M., 1974, 331 pp.

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

[9] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967, 736 pp. | MR

[10] Dmitriev V. B., “Nelokalnaya zadacha s integralnym usloviem dlya uravneniya giperbolicheskogo tipa”, Vestn. Sam. gos. tekhn. un-ta. Ser. Fiz.-mat. nauki, 2006, no. 42, 35–40 | DOI