Uniqueness Results for Matrix╒Valued Schrödinger, Jacobi, and Dirac╒Type Operators
Page 1 Math. Nachr. 239-240 (2002), 103 – 145 Uniqueness Results for Matrix–Valued …

For the Toda chain a method of integrating the initial boundary value problem on the semi-
axis n= 0, 1,… in a class of sequences bounded at every time value is suggested. The …

On Weyl–Titchmarsh theory for singular finite difference Hamiltonian systems - ScienceDirect
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Borg-type uniqueness theorems for matrix-valued Jacobi operators H and supersymmetric
Dirac difference operators D are proved. More precisely, assuming reflectionless matrix …

We introduce a family of compatible Poisson brackets on the space of rational functions with
denominator of a fixed degree and use it to derive a multi-Hamiltonian structure for a family …

It is proved that if the spectrum and spectral measure of a semi-infinite Jacobi matrix L (t)
change appropriately, then L (t) satisfies a generalized Lax equation of the form L (t)= Φ (L …

Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations Page 1
ii. T. Ando, "Fixed points of certain maps on positive semidefinite operators," in: Functional …

For the first two equations of the Volterra lattice hierarchy and the first two equations of its
non-autonomous (non-isospectral) extension, we present Riccati systems for functions cj (t) …

In the paper, we derive a finite complex Toda lattice with a self-consistent source. We
discuss the complete integrability of the constructed systems that is based on the …

In this chapter, the difference analogue of the well-known procedure for finding solutions of
the Cauchy problem for some nonlinear partial differential equations, in particular the …