The paper is devoted to the investigation of one of the basic boundary value problems of Riemann's type for bianalytical functions. In the course of work there was made out a constructive method for solution of the problem given in a plane with slots. There was also found out that the solution of the problem under consideration consists of consequent solutions of two Riemann's boundary value problems for analytical functions in a plane with slots. Besides, a picture of solvability of the problem is being searched and its Noether is identified.
Apie pirmojo pagrindinio kraštinio Rimano tipo uždavinio bianalizinėms funkcijoms plokštumoje su įtrūkiai sprendimą
Santrauka. Šiame darbe tyrinėjamas uždavinys, kai ieškoma dalimis bianalizinių funkcijų, nykstančių begalybėje, apribotų greta kontūro trūkio taškų ir šiame kontūre tenkinančių dvi kraštines sąlygas. Parodoma, kad sprendžiamas uždavinys suvedamas į sprendimą dviejų Rimano uždavinių analizinėms funkcijoms.
Bolotin, I. B., & Rasulov, K. .M. (2004). The first basic boundary value problem of Riemann’s type for bianalytical functions in a plane with slots. Mathematical Modelling and Analysis, 9(2), 91-98. https://doi.org/10.3846/13926292.2004.9637244
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