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7 papers · 1 filter
Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval
Dmitry Chelkak, Evgeny Korotyaev
The matrix-valued Weyl-Titchmarsh functions of vector-valued Sturm-Liouville operators on the unit interval with the Dirichlet boundary conditions are considered. The collec…
Estimates for periodic Zakharov-Shabat operators
Evgeny Korotyaev, Pavel Kargaev
We consider the periodic Zakharov-Shabat operators on the real line. The spectrum of this operator consists of intervals separated by gaps with the lengths . L…
M-functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems
B. M. Brown, G. Grubb, I. G. Wood
In this paper, we combine results on extensions of operators with recent results on the relation between the M-function and the spectrum, to examine the spectral behaviour of bound…
Borg type uniqueness Theorems for periodic Jacobi operators with matrix valued coefficients
Evgeny Korotyaev, Anton Kutsenko
We give a simple proof of Borg type uniqueness Theorems for periodic Jacobi operators with matrix valued coefficients.
Asymptotics for eigenvalues of a non-linear integral system
D. E. Edmunds, J. Lang
We show the asymptotic behavior of the eigenvalues of the non-linear integral system related to the (p,q)-Laplacian.
Exceptional coupling constants for the Coulomb-Dirac operator with anomalous magnetic moment
K. M. Schmidt
It was recently shown that the point spectrum of the separated Coulomb-Dirac operator H_0(k) is the limit of the point spectrum of the Dirac operator with anomalous magnetic moment…