This article is cited in 1 paper

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

Abstract: 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, Fourier transformation, agreement condition.

PACS: 02.30.Zz

Received: 12.01.2015
Revised: 16.01.2015

Language: English

DOI: 10.17586/2220-8054-2015-6-2-268-273

Bibliographic databases:

• 
•