Explicit solution of the Riemann boundary value problem for double periodic functions in case of compound contour

Explicit solution of the Riemann boundary value problem for double periodic functions in case of compound contour

It is obtained the explicit solution to the Riemann boundary value problem for a compound contour on the torus. An example is presented which illustrates theoretical results. Rymano kraštinio uždavinio dukart periodinėms funkcijoms išreikįtinis sprendinys sudėtinio kontūro atveju Santrauka...

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Main Author: T. I. Gatalskaja
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2003-03-01
Series:Mathematical Modelling and Analysis
Subjects:
Riemann boundary value problem
periodic functions
compound contour
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/9751
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spelling doaj-31057fd07ffb4f91881ad6dc3c30e3032021-07-02T09:50:31ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102003-03-018110.3846/13926292.2003.9637206Explicit solution of the Riemann boundary value problem for double periodic functions in case of compound contourT. I. Gatalskaja0Department of Mathematics and Mechanics , Belarusian State University , F. Skaryny av.4, Minsk, 220050, Belarus It is obtained the explicit solution to the Riemann boundary value problem for a compound contour on the torus. An example is presented which illustrates theoretical results. Rymano kraštinio uždavinio dukart periodinėms funkcijoms išreikįtinis sprendinys sudėtinio kontūro atveju Santrauka Straipsnyje išspręstas Rymano kraštinis uždavinys srityje su sudetiniu kontūru. Rastas biperiodinis uždavinio sprendinys, išreikštas integralu su Košy branduoliu, kuris šiuo atveju yra Vajerštraso dzeta funkcija. Pabaigoje pateiktas iliustruojantis pavyzdys. https://journals.vgtu.lt/index.php/MMA/article/view/9751Riemann boundary value problemperiodic functionscompound contour
collection DOAJ
language English
format Article
sources DOAJ
author T. I. Gatalskaja
spellingShingle T. I. Gatalskaja
Explicit solution of the Riemann boundary value problem for double periodic functions in case of compound contour
Mathematical Modelling and Analysis
Riemann boundary value problem
periodic functions
compound contour
author_facet T. I. Gatalskaja
author_sort T. I. Gatalskaja
title Explicit solution of the Riemann boundary value problem for double periodic functions in case of compound contour
title_short Explicit solution of the Riemann boundary value problem for double periodic functions in case of compound contour
title_full Explicit solution of the Riemann boundary value problem for double periodic functions in case of compound contour
title_fullStr Explicit solution of the Riemann boundary value problem for double periodic functions in case of compound contour
title_full_unstemmed Explicit solution of the Riemann boundary value problem for double periodic functions in case of compound contour
title_sort explicit solution of the riemann boundary value problem for double periodic functions in case of compound contour
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2003-03-01
description It is obtained the explicit solution to the Riemann boundary value problem for a compound contour on the torus. An example is presented which illustrates theoretical results. Rymano kraštinio uždavinio dukart periodinėms funkcijoms išreikįtinis sprendinys sudėtinio kontūro atveju Santrauka Straipsnyje išspręstas Rymano kraštinis uždavinys srityje su sudetiniu kontūru. Rastas biperiodinis uždavinio sprendinys, išreikštas integralu su Košy branduoliu, kuris šiuo atveju yra Vajerštraso dzeta funkcija. Pabaigoje pateiktas iliustruojantis pavyzdys.
topic Riemann boundary value problem
periodic functions
compound contour
url https://journals.vgtu.lt/index.php/MMA/article/view/9751
work_keys_str_mv AT tigatalskaja explicitsolutionoftheriemannboundaryvalueproblemfordoubleperiodicfunctionsincaseofcompoundcontour
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