Geodesic
Problem with time-dependent boundary conditions for hyperbolic equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 1 (2017), pp. 7-14

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In this paper, we consider a problem for hyperbolic equation with standard initial data and nonlocal dynamic conditions. Such conditions may arise when a thick short bar fixed by point forces and springs. The existence and uniqueness of the problem are proved. The proof is mainly based on a priori estimates and Galerkin procedure.
Keywords: hyperbolic equation, generalized solution, dynamic conditions.
Mots-clés : nonlocal conditions 
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     author = {A. V. Dyuzheva},
     title = {Problem with time-dependent boundary conditions for hyperbolic equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {7--14},
     publisher = {mathdoc},
     number = {1},
     year = {2017},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2017_1_a0/}
}
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A. V. Dyuzheva. Problem with time-dependent boundary conditions for hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 1 (2017), pp. 7-14. http://geodesic.mathdoc.fr/item/VSGU_2017_1_a0/