Geodesic
On solvability of a~nonlocal problem with nonlinear integral condition for
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2010), pp. 12-20

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In this paper we study the solvability of a problem for a multidimensional w.r.t. spatial variables hyperbolic equation with a nonlinear integral condition on the lateral area. The unique solvability in the Sobolev space is proved. The proof is based on a priori estimates obtained in the article.
Keywords: nonlocal problem, integral condition, solvability. 
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     author = {N. V. Beylina},
     title = {On solvability of a~nonlocal problem with nonlinear integral condition for},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {12--20},
     publisher = {mathdoc},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2010_4_a1/}
}
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N. V. Beylina. On solvability of a~nonlocal problem with nonlinear integral condition for. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 4 (2010), pp. 12-20. http://geodesic.mathdoc.fr/item/VSGU_2010_4_a1/