Erofeenko, V.T. and Kozlovskaya, I.C. (2001) Partial Equations with Applications in Economics: A Course of Lectures. BGU, Minsk, Belarus. (In Russian)

has been cited by the following article:

• TITLE: Non-Monochromatic Electromagnetic Radiation of Inhomogeneous Media

  AUTHORS: Nicolay N. Grinchik, Vladimir G. Andrejev, Galina M. Zayats, Yury N. Grinchik

  KEYWORDS: Strong Discontinuities in the Electromagnetic Field, Nonstationary Broadening of the Spectral Line, Surface Charge, Surface Current, Electromagnetic Wave, Heterogeneous Medium, Soliton-Like Electromagnetic Pulse, Induced Surface Charge

  JOURNAL NAME: Journal of Electromagnetic Analysis and Applications, Vol.10 No.2, February 9, 2018

  ABSTRACT: A coordinated physicomathematical model for the propagation of a soliton-like electromagnetic pulse in a heterogeneous medium is developed in the presence of strong discontinuities in the electromagnetic field. The model is based on the reduction of Maxwell’s equations to the well-studied wave equation. When the electromagnetic pulse was specified, its amplitude modulation was taken into account, as was the nonstationary broadening of the spectral line. Conditions for matching the momentum for the first initial boundary-value problem are obtained. The time dispersion of the electrical induction is taken into account in terms of the function of signal conditioning which takes account of the broadening of its spectral line and integration over the continuous spectrum. With this approach, it is not necessary to neglect spatial derivatives, and also to use spatial nonlocal relations to take account of the effect of surface charge, surface current, and spatial dispersion of electrical induction at the interfaces of adjacent media.