Geodesic
Mixed problem with integral condition for the hyperbolic equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2011), pp. 154-159.

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In this paper we consider a nonlocal problem with integral condition of the first kind. Existence and uniqueness of a solution of this problem are proved. The proof is based on a priori estimates and auxiliary problem method.
Keywords: nonlocal problem, integral condition, a priori estimates. 
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N. D. Golubeva. Mixed problem with integral condition for the hyperbolic equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 4 (2011), pp. 154-159. http://geodesic.mathdoc.fr/item/VSGTU_2011_4_a18/

[1] Pul'kina L. S., “A nonlocal problem with integral conditions for a hyperbolic equation”, Differ. Equ., 40:7 (2004), 947–953 | DOI | MR | Zbl

[2] Pul'kina L. S., “Nonlocal problem with integral conditions for one-dimensional wave equation”, Doklady Adygskoy (Cherkesskoy) mezhdunarodnoy akademii nauk, 12:2 (2010), 52–58

[3] Kozhanov A. I., Pul'kina L. S., “On the solvability of some boundary value problems with shift for linear hyperbolic equations”, Matematicheskiy zhurnal (Kazakhstan), 9:2 (2009), 78–92

[4] Ladyzhenskaya O. A., Boundary value problems of mathematical physics, Nauka, Moscow, 1973, 407 pp. | MR

[5] Gȧrding L., Cauchy's problem for hyperbolic equations, Mercators Tryckeri, Helsinki, 1958 ; Gording L., Zadacha Koshi dlya giperbolicheskikh uravnenii, Inostr. lit., M., 1961, 120 pp. | MR

[6] Trenogin V. A., Functional analysis, Nauka, Fizmatlit, 1980, 484 pp.