Recent developments in Sturm-Liouville theory

DOI10.1515/9783110719000zbMath1479.34004OpenAlexW3129749365MaRDI QIDQ827233

Anton Zettl

Publication date: 7 January 2021

Published in: De Gruyter Studies in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110719000

zbMATH Keywords

singular boundary value problemsindefinite problemsSturm-Liouville theorylimit-point/limit-circle classificationdifferentiable dependence of eigenvaluesregular boundary value problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05) Linear symmetric and selfadjoint operators (unbounded) (47B25) Green's functions for ordinary differential equations (34B27) Singular nonlinear boundary value problems for ordinary differential equations (34B16) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Research exposition (monographs, survey articles) pertaining to ordinary differential equations (34-02)

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Characterization of symmetric operators and their Friedrichs extension for singular Sturm-Liouville problems ⋮ On the spectrum of a quasi-differential boundary value problem of the second-order ⋮ Perturbed potential temperature field in the atmospheric boundary layer

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