One case of the generalized three-element boundary problem on the line
Authors
Victor Michaylovich Adukov
South Ural State University
Alexey Alexeevich Patrushev
South Ural State University
Keywords:
boundary problems for analytic functions, Riemann matrix boundary problem, Markushevich boundary problem
Abstract
In the article an explicit method for the solution of generalized three-element boundary value problem in the class of piecewise analytic functions is given. The boundary condition of the problem is given on the straight line. The problem is solved in a closed form under certain constraints on the coefficient b(t) of the problem.
Author Biographies
Victor Michaylovich Adukov, South Ural State University
Dr. Sc. (Physics and Mathematics), Professor, Mathematical and Functional Analysis Department
Alexey Alexeevich Patrushev, South Ural State University
Cand. Sc. (Physics and Mathematics), Associate Professor, Department of Differential Stochastic Equations
