Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Dirichlet and Neumann Problems for String Equation, Poncelet Problem and Pell-Abel Equation
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| Creator |
Burskii, V.P.
Zhedanov, A.S. |
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| Description |
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.
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| Date |
2019-02-07T20:05:57Z
2019-02-07T20:05:57Z 2006 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2000 Mathematics Subject Classification: 35L20; 14H70; 13B25 http://dspace.nbuv.gov.ua/handle/123456789/146170 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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