The Integration of Double-Infinite Toda Lattice by Means of Inverse Spectral Problem and Related Quetions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The Integration of Double-Infinite Toda Lattice by Means of Inverse Spectral Problem and Related Quetions
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| Creator |
Berezansky, Yu.
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| Description |
The solution of the Cauchy problem for differential-difference double-infinite Toda lattice by means of inverse spectral problem for semi-infinite block Jacobi matrix is given. Namely, we construct a simple linear system of three differential equations of first order whose solution gives the spectral matrix measure of the aforementioned Jacobi matrix. The solution of the Cauchy problem for the Toda lattice is given by the procedure of orthogonalization w.r.t. this spectral measure, i.e. by the solution of the inverse spectral problem for this Jacobi matrix.
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| Date |
2010-02-02T13:43:04Z
2010-02-02T13:43:04Z 2009 |
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| Type |
Article
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| Identifier |
The integration of double-infinite Toda lattice by means of inverse spectral problem and related questions / Yu. Berezansky // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 101-136. — Бібліогр.: 48 назв. — англ.
1029-3531 http://dspace.nbuv.gov.ua/handle/123456789/5711 |
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| Language |
en
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| Publisher |
Інститут математики НАН України
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