One case of solution in a closed form of Markushevich boundary problem for semiplane

Authors

  • Alexey Alexeevich Patrushev South Ural State University

Keywords:

boundary problems for analytic functions, Riemann boundary problem, Hilbert boundary problem, Markushevich boundary problem

Abstract

In the article an explicit method for the solution of Markushevich boundary value problem directed by L.I. Chibrikova in the class of piecewise analytic functions is given. Boundary condition of the problem is given on the line. The problem is found in a closed form under certain constratints on the coefficient b(t) of the problem.

Author Biography

Alexey Alexeevich Patrushev, South Ural State University

Associate Professor, Department of General Mathematics

Published

2014-04-30

Issue

Section

Mathematics