K.I. Kisilenko – Post-graduate Student, Nizhny Novgorod State Technical University them. R.E. Alekseev

G.S. Malyshev – Post-graduate Student, Nizhny Novgorod State Technical University them. R.E. Alekseev

А.S. Raevsky – Dr.Sc. (Phys.-Math.), Professor, Head of Department «Physics and Technology of Optical Communication»,  Nizhny Novgorod State Technical University them. R.E. Alekseev

S.B. Raevsky – Dr.Sc. (Eng.), Honored Worker of Science of the Russian Federation, Professor,  Nizhny Novgorod State Technical University them. R.E. Alekseev

E-mail: physics@nntu.nnov.ru

The self-consistent problem of electromagnetism is defined as a closed mathematical cycle in which the primary sources of the electromagnetic field are corrected by the inverse effect of secondary sources arising from them as a result of the interaction of the  radiation field with the surrounding medium. In a stationary state such a cycle is described by a homogeneous boundary value problem either on the differential, or integral, or integro-differential equations, that is, the eigenfunction and eigenvalue problem. Four most widespread variants of self-consistent boundary value problems are formulated.

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