The eigenvalue and trace of the Sturm-Liouville operator as differentiable functions of a summable potential
From MaRDI portal
Publication:1594340
zbMath0967.34076MaRDI QIDQ1594340
V. A. Vinokurov, Victor A. Sadovnichij
Publication date: 28 January 2001
Published in: Doklady Mathematics (Search for Journal in Brave)
Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)
Related Items (8)
On eigenpairs of Schrödinger equation with multiwell potential ⋮ Optimal grid method for the recovery of the potential from two spectra ⋮ Asymptotics of the spectrum of nonsmooth perturbations of differential operators of order \(2m\) ⋮ Modified Numerov's method for inverse Sturm-Liouville problems ⋮ Convergence of Numerov's method for inverse Sturm-Liouville problems ⋮ A trace formula for integro-differential operators on the finite interval ⋮ Traces of differential operators ⋮ New trace formulae for a quadratic pencil of the Schrödinger operator
This page was built for publication: The eigenvalue and trace of the Sturm-Liouville operator as differentiable functions of a summable potential
