Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation

dc.contributor.author	Burskii, V.P.
dc.contributor.author	Zhedanov, A.S.
dc.date.accessioned	2019-02-07T20:05:57Z
dc.date.available	2019-02-07T20:05:57Z
dc.date.issued	2006
dc.identifier.citation	Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation / V.P. Burskii, A.S. Zhedanov // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 14 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 35L20; 14H70; 13B25
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146170
dc.description.abstract	We consider conditions for uniqueness of the solution of the Dirichlet or the Neumann problem for 2-dimensional wave equation inside of bi-quadratic algebraic curve. We show that the solution is non-trivial if and only if corresponding Poncelet problem for two conics associated with the curve has periodic trajectory and if and only if corresponding Pell-Abel equation has a solution.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA