Hüseyin, Hüseyin ŞirinGuseinov, Gusein Sh.Mathematics2024-07-052024-07-05201031007-57041878-727410.1016/j.cnsns.2009.05.0292-s2.0-70350366097https://doi.org/10.1016/j.cnsns.2009.05.029https://hdl.handle.net/20.500.14411/1472We introduce the concept of generalized spectral function for finite order complex Jacobi matrices and solve the inverse problem with respect to the generalized spectral function. The results obtained can be used for solving of initial-boundary value problems for finite nonlinear Toda lattices with the complex-valued initial conditions by means of the inverse spectral problem method. (C) 2009 Elsevier B.V. All rights reserved.eninfo:eu-repo/semantics/closedAccessJacobi matrixDifference equationGeneralized spectral functionInverse spectral problemArticleQ1Q1154840851WOS:000272308100006