The second boundary value problem of riemann's type for bianalytical functions with discontinuous coefficients

Abstract

The paper is devoted to the investigation of one of the basic boundary value problems of Riemann's type for bianalytical functions with discontinuous coefficients. In the course of work there was made out a constructive method for solution of the problem in a unit circle. There was also found out that the solution of the problem under consideration consists in consequent solutions of two Riemann's boundary value problems for analytical functions in a unit circle. Besides, the example is constructed.

Darbe sprendžiamas antrasis kraštinis uždavinys Rimano tipo bianalizinems funkcijoms su trūkiais koeficientais. Parodoma, kad sprendžiamas uždavinys suvedamas i sprendima dvieju Rimano uždaviniu analizinems funkcijoms su trūkiais koeficientais. Randamos analiziniu funkciju klases, kuriose gali būti sprendinys. Pateikiamas pavyzdys, iliustruojantis nagrinejamo uždavinio sprendimo algoritma.

Key words:

• bianalytical function
• boundary value problem
• plane with slots
• index