Oscillation theorems for Sturm-Liouville problems with distribution potentials

DOI10.3103/S0027132209030073zbMath1304.34069OpenAlexW2059800177MaRDI QIDQ2513075

Yanyan Li

Publication date: 2 February 2015

Published in: Moscow University Mathematics Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0027132209030073

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (7)

Strict domain monotonicity of the principal eigenvalue and a characterization of lower boundedness for the Friedrichs extension of four-coefficient Sturm–Liouville operators ⋮ On Leighton's comparison theorem ⋮ Comparison and oscillation theorems for first order systems with distributional coefficients ⋮ On the Neumann problem for the Sturm-Liouville equation with Cantor-type self-similar weight ⋮ Inequalities among eigenvalues of Sturm-Liouville problems with distribution potentials ⋮ Schrödinger operators with distributional potentials and boundary conditions dependent on the eigenvalue parameter ⋮ On Spectral Periodicity for the Sturm–Liouville Problem: Cantor Type Weight, Neumann and Third Type Boundary Conditions

Cites Work

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• On the properties of maps connected with inverse Sturm-Liouville problems
• Regularization of a Sturm-Liouville problem with an interior singularity using quasi-derivatives
• An irregular extension of the oscillation theory of the Sturm-Liouville spectral problem
• Sturm-Liouville differential operators in direct sum spaces
• Sturm-Liouville operators with singular potentials
• Eigenvalue asymptotics for Sturm--Liouville operators with singular potentials
• Fourier method for one dimensional Schr\"odinger operators with singular periodic potentials
• Perturbation theory for a Sturm-Liouville problem with an interior singularity

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