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

• Datum: 2005
• Hauptverfasser: Khanmamedov, A. Kh., Ханмамедов, А. Х.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2005
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3673
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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...