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We consider a piecewise continuous Schwarz-type boundary-value problem in an angle for monogenic functions in a commutative biharmonic algebra. This problem is reduced to a system of integral equations on the positive semiaxis. It is shown that, on each segment of this semiaxis, the set of solutions of this system coincides with the set of solutions of a certain system of Fredholm integral equations.

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A Piecewise Continuous Schwarz-Type Boundary-Value Problem in an Angle for Monogenic Functions in a Commutative Biharmonic Algebra

  • 会议论文

  • 发表日期：

    2025年

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  • Serhii Gryshchuk,
  • Sergiy Plaksa

摘要

We consider a piecewise continuous Schwarz-type boundary-value problem in an angle for monogenic functions in a commutative biharmonic algebra. This problem is reduced to a system of integral equations on the positive semiaxis. It is shown that, on each segment of this semiaxis, the set of solutions of this system coincides with the set of solutions of a certain system of Fredholm integral equations.