Geodesic
On certain nonlocal problem for hyperbolic equation with integral conditions of the first kind
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 5 (2011), pp. 29-36

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In this article, we consider a nonlocal problem for hyperbolic equation with integral conditions of the first kind. The main goal of this article is to show the method which allows to reduce posed problem to the problem with integral condition of the second kind. Existence and uniqueness of generalized solution is proved.
Keywords: non-local problem, hyperbolic equation, generalized solution.
Mots-clés : non-local conditions 
@article{VSGU_2011_5_a3,
     author = {A. V. Dyuzheva},
     title = {On certain nonlocal problem for hyperbolic equation with integral conditions of the first kind},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {29--36},
     publisher = {mathdoc},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_5_a3/}
}
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A. V. Dyuzheva. On certain nonlocal problem for hyperbolic equation with integral conditions of the first kind. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 5 (2011), pp. 29-36. http://geodesic.mathdoc.fr/item/VSGU_2011_5_a3/