Resolution of the Cauchy problem for the Toda lattice with non-stabilized initial data

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dc.creatorKudryavtsev, Mikhail
dc.date2001-10-26
dc.date.accessioned2026-07-07T04:44:06Z
dc.date.available2026-07-07T04:44:06Z
dc.descriptionThis paper is the continuation of the work "On an inverse problem for finite-difference operators of second order". We consider the Cauchy problem for the Toda lattice in the case when the corresponding L-operator is a Jacobi matrix with bounded elements, whose spectrum of multipliciy 2 is separated from its simple spectrum and contains an interval of asolutely continuous spectrum. Using the integral equation of the inverse problem for this matrix, obtained in the previous work, we solve the Cauchy problem for the Toda lattice with non-stabilized initial data.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0110293
dc.identifierhttp://arxiv.org/abs/math/0110293
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62502
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.subject35G25, 34A12
dc.titleResolution of the Cauchy problem for the Toda lattice with non-stabilized initial data
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