About the solution in closed form of generalized markushevich boundary value problem in the class of analytical functions
Abstract
The paper is devoted to the investigation of the problem of obtaining piecewise analytical functions F(z) = {F+(z), F− (z)} with the jump line L, vanishing on the infinity and satisfying on L the boundary condition where α(t) is the preserving orientation homeomorphism of L onto itself and G(t), b(t), g(t) are given on Lfunctions of Holder class and G(t) ? 0 on L. The algorithm for the solution of this problem was obtained and particular cases, when it is solvable in closed form are determined.

First Published Online: 14 Oct 2010
Keywords:
bianalytical function, boundary value problem, plane with slots, indexHow to Cite
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Copyright (c) 2004 The Author(s). Published by Vilnius Gediminas Technical University.
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Copyright (c) 2004 The Author(s). Published by Vilnius Gediminas Technical University.
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This work is licensed under a Creative Commons Attribution 4.0 International License.