On well‐posedness of nonlinear conjugation boundary value problem for analytic functions
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 an...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius Gediminas Technical University
2000-12-01
|
| Series: | Mathematical Modelling and Analysis |
| Subjects: | |
| Online Access: | https://journals.vgtu.lt/index.php/MMA/article/view/9954 |
| id |
doaj-58d58cde7f834d3dbe9a7f49dc798156 |
|---|---|
| record_format |
Article |
| spelling |
doaj-58d58cde7f834d3dbe9a7f49dc7981562021-07-02T16:49:25ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102000-12-015110.3846/13926292.2000.9637138On well‐posedness of nonlinear conjugation boundary value problem for analytic functionsS. V. Rogosin0Department of Mathematics and Mechanics , Belarusian State University , Fr. Skaryny ave 4, Minsk, 220050, Belarus 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 https://journals.vgtu.lt/index.php/MMA/article/view/9954- |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
S. V. Rogosin |
| spellingShingle |
S. V. Rogosin On well‐posedness of nonlinear conjugation boundary value problem for analytic functions Mathematical Modelling and Analysis - |
| author_facet |
S. V. Rogosin |
| author_sort |
S. V. Rogosin |
| title |
On well‐posedness of nonlinear conjugation boundary value problem for analytic functions |
| title_short |
On well‐posedness of nonlinear conjugation boundary value problem for analytic functions |
| title_full |
On well‐posedness of nonlinear conjugation boundary value problem for analytic functions |
| title_fullStr |
On well‐posedness of nonlinear conjugation boundary value problem for analytic functions |
| title_full_unstemmed |
On well‐posedness of nonlinear conjugation boundary value problem for analytic functions |
| title_sort |
on well‐posedness of nonlinear conjugation boundary value problem for analytic functions |
| publisher |
Vilnius Gediminas Technical University |
| series |
Mathematical Modelling and Analysis |
| issn |
1392-6292 1648-3510 |
| publishDate |
2000-12-01 |
| description |
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
|
| topic |
- |
| url |
https://journals.vgtu.lt/index.php/MMA/article/view/9954 |
| work_keys_str_mv |
AT svrogosin onwellposednessofnonlinearconjugationboundaryvalueproblemforanalyticfunctions |
| _version_ |
1721326113057144832 |