Geodesic
A mixed problem with nonlinear integral condition for a~hyperbolic equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2009), pp. 35-49

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Mixed problem for the hyperbolic equation with non-linear integral condition instead of a standard boundary condition and non-linear right side is viewed in the work. The task is viewed in the space of arbitrary dimensionality. The existence and uniqueness of the solution is proved.
Keywords: nonlocal problem, hyperbolic equation, generalized solution.
Mots-clés : apriori estimation 
@article{VSGU_2009_6_a3,
     author = {V. B. Dmitriev},
     title = {A mixed problem with nonlinear integral condition for a~hyperbolic equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {35--49},
     publisher = {mathdoc},
     number = {6},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2009_6_a3/}
}
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V. B. Dmitriev. A mixed problem with nonlinear integral condition for a~hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2009), pp. 35-49. http://geodesic.mathdoc.fr/item/VSGU_2009_6_a3/