The resolvent relation of Sobolev for vector integral transfer equations in a half-space


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Abstract

The semi-inverse factorization method for the derivation of the Sobolev resolvent relation (SRR) for the transfer of radiation in a homogeneous half-space is proposed. The SRR is extended to vector, integral transfer equations. The method is compared with the non-linear factorization equation method. The application of the SRR to the transfer of resonance radiation is discussed.

About the authors

N. B. Engibaryan

Institute of Mathematics

Author for correspondence.
Email: yengib@instmath.sci.am
Armenia, Yerevan

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