Geodesic
Inverse problem with integral in time overdetermination and nonlocal boundary conditions for hyperbolic equation
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 1-2 (2016), pp. 27-32

Voir la notice de l'article provenant de la source Math-Net.Ru

In this article, we consider a question of sovability of an inverse problem for a linear hyprbolic equation. Properties of the solution of an associated nonlocal initial-boundary problem with displacement in boundary conditions are used to develop an existence result for the identification of the unknown source. Overdetermination is represented as integral with respect to time-variable.
Keywords: inverse problem, integral overdetermination, generalized solution, hyperbolic equation.
Mots-clés : nonlocal conditions 
@article{VSGU_2016_1-2_a2,
     author = {A. V. Duzheva},
     title = {Inverse problem with integral in time overdetermination and nonlocal boundary conditions for hyperbolic equation},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {27--32},
     publisher = {mathdoc},
     number = {1-2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2016_1-2_a2/}
}
TY  - JOUR
AU  - A. V. Duzheva
TI  - Inverse problem with integral in time overdetermination and nonlocal boundary conditions for hyperbolic equation
JO  - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
PY  - 2016
SP  - 27
EP  - 32
IS  - 1-2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGU_2016_1-2_a2/
LA  - ru
ID  - VSGU_2016_1-2_a2
ER  - 
%0 Journal Article
%A A. V. Duzheva
%T Inverse problem with integral in time overdetermination and nonlocal boundary conditions for hyperbolic equation
%J Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ
%D 2016
%P 27-32
%N 1-2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGU_2016_1-2_a2/
%G ru
%F VSGU_2016_1-2_a2
A. V. Duzheva. Inverse problem with integral in time overdetermination and nonlocal boundary conditions for hyperbolic equation. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 1-2 (2016), pp. 27-32. http://geodesic.mathdoc.fr/item/VSGU_2016_1-2_a2/