Geodesic
Inverse problem for the identification of a memory kernel from Maxwell's system integro-differential equations for a homogeneous anisotropic media
Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 2, pp. 268-273.

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We consider the problem of reconstructing the time-dependent history of electromagnetic fields from Maxwell's system of equations for an homogeneous anisotropic medium. As additional information, the Fourier image of electric and magnetic field intensity vectors for values $\nu$ = 0 of transformation parameter are given. It is shown that if the given functions satisfy some conditions of agreement and smoothness, the solution of the posed problem is uniquely defined in a class of continuously differentiable functions.
Keywords: inverse problem, integro-differential equation, delta function, agreement condition.
Mots-clés : Fourier transformation 
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     title = {Inverse problem for the identification of a memory kernel from {Maxwell's} system integro-differential equations for a homogeneous anisotropic media},
     journal = {Nanosistemy: fizika, himi\^a, matematika},
     pages = {268--273},
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D. K. Durdiev. Inverse problem for the identification of a memory kernel from Maxwell's system integro-differential equations for a homogeneous anisotropic media. Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 2, pp. 268-273. http://geodesic.mathdoc.fr/item/NANO_2015_6_2_a12/