The Integration of Double-Infinite Toda Lattice by Means of Inverse Spectral Problem and Related Quetions

• Date: 2009
• Main Author: Berezansky, Yu.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/5711
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 spectra...