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Inverse Problem for Sturm–Liouville Operators with Coulomb Potential which have Discontinuity Conditions Inside an Interval
In this study, properties of spectral characteristic are studied for Sturm–Liouville operators with Coulomb potential which have discontinuity...
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Reconstructing Jacobi Matrices from Three Spectra
Cut a Jacobi matrix into two pieces by removing the n-th column and n-th row. We give necessary and sufficient conditions for the spectra of the... -
Transformation Operators for Sturm-Liouville Operators with Singular Potentials
We construct transformation operators for Sturm-Liouville operators with singular potentials from the space W −1 2 (0,1) and show that these...
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Asymptotic Value Distribution for Solutions of the Schrödinger Equation
We consider the Dirichlet Schrödinger operator T =−(d 2 /d x 2 )+ V , acting in L 2 (0,∞), where V is an arbitrary locally integrable potential which gives...
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Gravity and Capillary-Gravity Periodic Travelling Waves for Two Superposed Fluid Layers, One Being of Infinite Depth
The mathematical study of 2D travelling waves in the potential flow of two superposed layers of perfect fluid, with free surface and interfaces (with...