On the concentration of spectrum in the model problem of singular perturbation theory

DOI10.1134/S1064562407020068zbMath1167.34395MaRDI QIDQ2518804

S. A. Stepin, V. A. Titov

Publication date: 19 January 2009

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

singular perturbationDirichlet boundary conditionsasymptotics of eigenvaluesOrr-Sommerfeld equation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15)

Related Items (6)

Analogs of Bohr-Sommerfeld-Maslov quantization conditions on Riemann surfaces and spectral series of nonself-adjoint operators ⋮ Spectral deformation in a problem of singular perturbation theory ⋮ A quasiclassical limit of the spectrum of a Schrödinger operator with complex periodic potential ⋮ Phase integral method in the problem of quasiclassical localization of spectra ⋮ WKB asymptotics and spectral deformation in semi-classical limit ⋮ Asymptotics of the spectrum and eigenfunctions of the magnetic induction operator on a compact two-dimensional surface of revolution

Cites Work

• Non-self-conjugate singular perturbations: a model of transition from a discrete to a continuous spectrum
• Unnamed Item

This page was built for publication: On the concentration of spectrum in the model problem of singular perturbation theory