NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2015, 6 (2), P. 268–273
Inverse problem for the identification of a memory kernel from Maxwell’s system integro – differential equations for a homogeneous anisotropic media
D. K. Durdiev – Bukhara State University, Bukhara, Uzbekistan; firstname.lastname@example.org
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 ν = 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, Fourier transformation, agreement condition.