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Rapidly Decreasing Solution of the Initial Boundary-Value Problem for the Toda Lattice

Using the inverse scattering transform, we investigate an initial boundary-value problem with zero boundary condition for the Toda lattice. We prove the existence and uniqueness of a rapidly decreasing solution and determine a class of initial data that guarantees the existence of a rapidly decreasi...

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Bibliographic Details
Date:	2005
Main Authors:	Khanmamedov, A. Kh., Ханмамедов, А. Х.
Format:	Article
Language:	Russian English
Published:	Institute of Mathematics, NAS of Ukraine 2005
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/3673
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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