Uniform asymptotics of the eigenvalues and eigenfunctions of the Dirac system with an integrable potential

DOI10.1134/S001226611608005XzbMath1356.34083MaRDI QIDQ730390

I. V. Sadovnichaya

Publication date: 27 December 2016

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

finite interval

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (5)

Uniform basis property of root vector systems of Dirac operators ⋮ Criterion of Bari basis property for 2 × 2 Dirac‐type operators with strictly regular boundary conditions ⋮ Asymptotic behavior of solutions of the Dirac system with an integrable potential ⋮ Estimates of Riesz constants for the Dirac system with an integrable potential ⋮ Stability of spectral characteristics of boundary value problems for \(2 \times 2\) Dirac type systems: applications to the damped string

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dirac system with potential lying in Besov spaces
• Asymptotic formulas for fundamental solutions of the Dirac system with complex-valued integrable potential
• Equiconvergence of spectral decompositions of 1D Dirac operators with regular boundary conditions
• The Riesz basis property of generalized eigenspaces for a Dirac system with integrable potential
• Inverse spectral problems for Dirac operators with summable potentials
• On the Riesz basis property of the root functions in certain regular boundary value problems
• The Dirac operator with complex-valued summable potential
• Uniform stability of the inverse Sturm-Liouville problem with respect to the spectral function in the scale of Sobolev spaces
• Analyticity and uniform stability in the inverse singular Sturm–Liouville spectral problem
• Riesz basis of root vectors of a non-symmetric system of first-order ordinary differential operators and application to inverse eigenvalue problems
• Riesz bases consisting of root functions of 1D Dirac operators
• The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials

This page was built for publication: Uniform asymptotics of the eigenvalues and eigenfunctions of the Dirac system with an integrable potential