Speciality:
01.01.02 (Differential equations, dynamical systems, and optimal control)
Keywords: singular integral operator, index, symbol, Noetherity of an operator, elliptic system, Dirichlet poblem, Neumann problem
Subject:
The solvability theory of two-dimensional singular integral operators over a bounded domain, an integral operator with movable and fixed singularities, boundary value problems for differential equations with singular coefficients, and a two-dimensional singular integral operator with shift
Main publications:
Mikhailov L.G., Dzhangibekov G., Odinabekov J.M., “On some two-dimensional singular integral operators and their applications to elliptic system of differential equations with singular coefficients”, Dokl. Akad. Nauk, 409:6 (2006), 744-748
Dzhangibekov G., Odinabekov J.M., Khudzhanazarova G.Kh., “The Noetherian conditions and index of some class of singular integral operators over bounded simply connected domain”, Bulletin of Moscow State University, Mathematics, Mechanics, 1:2 (2019), 9-14