Geodesic
On a certain problem for a~wave equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 5 (2011), pp. 12-17

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In this paper a hyperbolic equation with non-classical boundary conditions for a hyperbolic equation is studied. This problem can be viewed as the generalization of the problem about the oscillation of the string if it ends experience the resistance of medium. The unique solvability of the problem is proved. The prove of solvability is based on the received a priory estimates in Sobolev space.
Keywords: wave equation, generalized solution, Galerkin procedure. 
@article{VSGU_2011_5_a1,
     author = {S. A. Beilin},
     title = {On a certain problem for a~wave equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {12--17},
     publisher = {mathdoc},
     number = {5},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2011_5_a1/}
}
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S. A. Beilin. On a certain problem for a~wave equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 5 (2011), pp. 12-17. http://geodesic.mathdoc.fr/item/VSGU_2011_5_a1/