najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2015-6-2-268-273najo-931Research ArticleREGULAR PAPERSREGULAR PAPERSInverse problem for the identification of a memory kernel from Maxwell’s system integro-differential equations for a homogeneous anisotropic mediaDurdievD. K.

Bukhara

durdiev65@mail.ruBukhara State UniversityUzbekistan20151408202562268273Copyright © Durdiev D.K., 20252025Durdiev D.K.Durdiev D.K.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/931

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.

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The authors declare that there are no conflicts of interest present.