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math.SP2001
Resolution of the Cauchy problem for the Toda lattice with non-stabilized initial data
Mikhail Kudryavtsev
This 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…
math.SP2001
On an inverse problem for finite-difference operators of second order
Mikhail Kudryavtsev
The Jacobi matrices with bounded elements whose spectrum of multiplicity 2 is separated from its simple spectrum and contains an interval of absolutely continuous spectrum are cons…
math.SP2001
The Riemann problem with additional singularities
Mikhail Kudryavtsev
The Riemann problem is studied in the case when the unknown function has nonisolated singularities, concentrated on the real axis. The problem is used for the factorization of func…