Electron. J. Diff. Equ., Vol. 2016 (2016), No. 138, pp. 1-7.

Inverse problem of a hyperbolic equation with an integral overdetermination condition

Taki-Eddine Oussaeif, Abdelfatah Bouziani

Abstract:
In this article we study the inverse problem of a hyperbolic equation with an integral overdetermination condition. The existence, uniqueness and continuous dependence of the solution of the solution upon the data are established.

Submitted October 27, 2015. Published June 8, 2016.
Math Subject Classifications: 35R30, 49K20.
Key Words: Inverse problem; hyperbolic equation; integral condition.

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Taki-Eddine Oussaeif
Department of Mathematics and Informatics
The Larbi Ben M'hidi University
Oum El Bouaghi, Algérie
email: taki_maths@live.fr
Bouziani Abdelfatah
Département de Mathematiques et Informatique
Université Larbi Ben M'hidi
Oum El Bouaghi, Algérie
email: af_bouziani@hotmail.com

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