Geodesic
Problem with an integral condition for one-dimensional hyperbolic equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 24 (2018) no. 4, pp. 7-12

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In this paper, we study a nonlocal problem with an integral condition for a one-dimensional hyperbolic equation arising in the study of vibrations of the rod. The conditions for the input data providing unambiguous solvability of the problem are obtained, the proof of the existence and uniqueness of the solution of the problem is carried out.
Keywords: hyperbolic equation, integral conditions, uniqueness of the solution, solvability of the problem.
Mots-clés : nonlocal proiblem 
@article{VSGU_2018_24_4_a0,
     author = {A. V. Bogatov},
     title = {Problem with an integral condition for one-dimensional hyperbolic equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {7--12},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2018_24_4_a0/}
}
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A. V. Bogatov. Problem with an integral condition for one-dimensional hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, Tome 24 (2018) no. 4, pp. 7-12. http://geodesic.mathdoc.fr/item/VSGU_2018_24_4_a0/