On Dirichlet problem for string equation, Poncelet problem, Pell-Abel equation, and some other related problems

In a plane domain bounded by a biquadratic curve, we consider the problem of the uniqueness of a solution of the Dirichlet problem for the string equation. We show that this problem is equivalent to the classical Poncelet problem in projective geometry for two appropriate ellipses and also to the pr...

Full description

Saved in:
Bibliographic Details
Date:2006
Main Authors: Burskii, V. P., Zhedanov, A. S., Бурский, В. П., Жеданов, А. С.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 2006
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3466
Tags: Add Tag
No Tags, Be the first to tag this record!
Journal Title:Ukrains’kyi Matematychnyi Zhurnal
Download file: Pdf

Institution

Ukrains’kyi Matematychnyi Zhurnal