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On well‐posedness of nonlinear conjugation boundary value problem for analytic functions

    S. V. Rogosin Affiliation

Abstract

We consider power type nonlinear conjugation problem for analytic functions. Our main question is to make this problem well‐posed, i.e. to find such classes of functions in which this problem possesses a unique solution. These classes are those with prescribed collections of zeros in the domains and/or on their boundaries.


Analizinių funkcijų netiesinio sujungimo kraštinio uždavinio korektiškumas


Santrauka


Nagrinejamas analiziniu funkciju netiesinio sujungimo kraštinis uždavinys. Analizuojami laipsninio tipo netiesiškumai. Pagrindinis darbo tikslas yra korektiškai suformuluoti uždavini, t.y. rasti tokiu funkciju klase, kurioje šis uždavinys turi vieninteli sprendini. Parodyta, kad tokia funkciju klase sudaro funkcijos su iš anksto užduota nuliu aibe srityje ir /arba ant jos kontūro.


First Published Online: 14 Oct 2010

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How to Cite
Rogosin, S. V. (2000). On well‐posedness of nonlinear conjugation boundary value problem for analytic functions. Mathematical Modelling and Analysis, 5(1), 153-163. https://doi.org/10.3846/13926292.2000.9637138
Published in Issue
Dec 15, 2000
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