Spectral Properties of Differential Operators with Oscillating Coefficients

DOI10.1090/MOSC/299zbMath1436.34021OpenAlexW3014371190MaRDI QIDQ4960301

É. A. Nazirova, Ya. T. Sultanaev, N. F. Valeev

Publication date: 14 April 2020

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mosc/299

zbMATH Keywords

Sturm-Liouville operatorsingular potentialasymptotics of fundamental solution system

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear operators on function spaces (general) (47B38) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

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• On the deficiency indices of the singular Sturm-Liouville operator with rapidly oscillating perturbation.
• Formulas for the distribution of eigenvalues of nonsemibounded Sturm- Liouville operators
• Point spectrum on a continuous spectrum for weakly perturbed Stark type operators
• On the methods of study of the asymptotic behavior of solutions of singular differential equations
• Asymptotic Theory and Deficiency Indices for Higher-Order Self-Adjoint Differential Equations
• LIMIT-CIRCLE DIFFERENTIAL EXPRESSIONS OF THE SECOND ORDER WITH AN OSCILLATING COEFFICIENT

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