A Variant of The Solution of Markushevich Boundary Problem
Authors
Alexey Alexeevich Patrushev
South Ural State University
Elena Vasilievna Patrusheva
South Ural State University
Keywords:
краевые задачи для аналитических функций, краевая задача Римана, краевая задача Гильберта, краевая задача Маркушевича
Abstract
In the article an explicit method for the solution of Markushevich boundary value problem in the class of piecewise analytic functions is suggested. Boundary condition of the problem is given on the unit circle. The problem is found in a closed form under additional restriction on the coefficient b(t) of the problem.
Author Biographies
Alexey Alexeevich Patrushev, South Ural State University
Associate Professor, Department of General Mathematics
Elena Vasilievna Patrusheva, South Ural State University
Associate Professor, Applied Mathematics Department
