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 decreasing solution.
English version (Springer): Ukrainian Mathematical Journal 57 (2005), no. 8, pp 1350-1359.
Citation Example: Khanmamedov A. Kh. Rapidly Decreasing Solution of the Initial Boundary-Value Problem for the Toda Lattice // Ukr. Mat. Zh. - 2005. - 57, № 8. - pp. 1144 – 1152.