On the spectrum of a vector Schrödinger operator

DOI10.1007/S10688-007-0003-1zbMath1126.47040OpenAlexW1975874543MaRDI QIDQ5919879

A. G. Kostyuchenko, R. S. Ismagilov

Publication date: 5 July 2007

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10688-007-0003-1

zbMATH Keywords

Schrödinger operatorSturm-Liouville operatordiscrete spectrumcounting functionself-adjointness

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Spectrum, resolvent (47A10) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (3)

Asymptotics of the spectrum of a singular nonsemibounded fourth-order vector differential operator in a vector function space ⋮ On the asymptotics of the spectrum of a nonsemibounded vector Sturm--Liouville operator ⋮ Distribution of the eigenvalues of singular differential operators in a space of vector-functions

Cites Work

• Asymptotic behavior to the eigenvalues of the Sturm-Liouville operator problem
• Sufficient conditions for a discrete spectrum in the case of a Sturm- Liouville equation with operator coefficients
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