Geodesic
About one task with a nonlocal condition on time variable for the hyperbolic equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 24 (2018) no. 4, pp. 24-28

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In this article, boundary value problem for hyperbolic equation with nonlocal initial data in integral form is considered. The main result is that the nonlocal problem is equivalent to the classical boundary value problem for a loaded equation. This fact helps to prove the uniqueness of a solution to the problem.
Keywords: hyperbolic equation, second kind integral condition.
Mots-clés : nonlocal conditions 
@article{VSGU_2018_24_4_a3,
     author = {S. V. Kirichenko},
     title = {About one task with a nonlocal condition on time variable for the hyperbolic equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {24--28},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2018_24_4_a3/}
}
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S. V. Kirichenko. About one task with a nonlocal condition on time variable for the hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 24 (2018) no. 4, pp. 24-28. http://geodesic.mathdoc.fr/item/VSGU_2018_24_4_a3/