Geodesic
Global solvability of two unknown variables identification problem in one inverse problem for the integro-differential wave equation
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 17-28

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Identification problem of the two coefficients, one of which is located under the integral sign in a hyperbolic equation and represents memory of the medium is studied, the other one defines a regular part of an impulse source. As an additional information Fourier image of the solution's trace of a direct problem on the hyperplane $y=0$ for two different values of transformation parameters is applied. The global solvability and the estimate of stability of the inverse problem are defined.
Keywords: inverse problem, integro-differential wave equation, hyperbolic equation, agreement condition, uniqueness, stability. 
@article{VSGTU_2009_2_a2,
     author = {D. K. Durdiev},
     title = {Global solvability of two unknown variables identification problem in one inverse problem for the integro-differential wave equation},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {17--28},
     publisher = {mathdoc},
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D. K. Durdiev. Global solvability of two unknown variables identification problem in one inverse problem for the integro-differential wave equation. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 17-28. http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a2/