Geodesic
Study the unique solvability of boundary value problem of Frankl for mixed-type equation degenerate on the boundary and within the region
Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2014), pp. 20-32

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In this paper, the existence and the uniqueness of solution of the Frankl type boundary value problem for degenerating equation of the mixed type are proved.
Keywords: degenerating equation, mixed type, uniqueness, boundary value problem.
Mots-clés : existence 
N. K. Ochilova. Study the unique solvability of boundary value problem of Frankl for mixed-type equation degenerate on the boundary and within the region. Vestnik KRAUNC. Fiziko-matematičeskie nauki, no. 1 (2014), pp. 20-32. http://geodesic.mathdoc.fr/item/VKAM_2014_1_a2/
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[1] B. Islomov, N. K. Ochilova, “O kraevoi zadache dlya uravneniya parabolo-giperbolicheskogo tipa s dvumya liniyami i razlichnymi poryadkami vyrozhdeniya”, Uzbekskii matematicheskii zhurnal, 2005, no. 3, 42–53 | MR

[2] M. M. Smirnov, Uravneniya smeshannogo tipa, Nauka, M., 1985, 304 pp. | MR

[3] S. A. Tersenov, Pervaya kraevaya zadacha dlya uravneniya parabolicheskogo tipa smenyayuschimsya napravleniem vremeni, Novosibirsk, 1978, 53 pp.

[4] S. Kh. Akbarova, Kraevye zadachi dlya uravneniya smeshannogo parabolo-giperbolicheskogo i elliptiko-parabolicheskogo tipov s dvumya liniyami i razlichnymi poryadkami vyrozhdeniya, disc. ...kand. fiz.-matem. nauk, Tashkent, 1995, 120 pp.

[5] S. G. Mikhlin, Integralnye uravneniya, Nauka, M., 1947, 304 pp.

[6] Prudnikov A.P., Brychkov Yu.A, Marychev O.I., Integraly i ryady. Dop. glavy, Nauka, M., 1986, 800 pp. | MR

[7] Salakhitdinov M.S., Islomov B., Uravneniya smeshannogo tipa s dvumya linyami vyrozhdeniya, MUMTOZ SUZ, Tashkent, 2009, 264 pp.