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