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The first basic boundary value problem of Riemann's type for bianalytical functions in a plane with slots

    I. B. Bolotin Affiliation
    ; K .M. Rasulov Affiliation

Abstract


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 tyrinejamas uždavinys, kai ieškoma dalimis bianaliziniu funkciju, nykstančiu begalybeje, apribotu greta kontūro trūkio tašku ir šiame kontūre tenkinančiu dvi kraštines salygas. Parodoma, kad sprendžiamas uždavinys suvedamas i sprendima dvieju Rimano uždaviniu analizinems funkcijoms.


First Published Online: 14 Oct 2010

Keyword : bianalytical function, boundary value problem, plane with slots, index

How to Cite
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
Published in Issue
Jun 30, 2004
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