Oscillation results for Sturm--Liouville problems with an indefinite weight function

DOI10.1016/j.cam.2004.01.015zbMath1078.34011OpenAlexW2165735049WikidataQ124629927 ScholiaQ124629927MaRDI QIDQ596232

Paul A. Binding, Manfred Möller, Heinz K. Langer

Publication date: 10 August 2004

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.01.015

zbMATH Keywords

oscillationindefinite weightSturm--Liouville operator

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Linear operators on spaces with an indefinite metric (47B50) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

Hamiltonian systems and Sturm-Liouville equations: Darboux transformation and applications ⋮ Negativity indices for definite and indefinite Sturm‐Liouville problems ⋮ OSCILLATION PROPERTIES FOR NON-CLASSICAL STURM-LIOUVILLE PROBLEMS WITH ADDITIONAL TRANSMISSION CONDITIONS

Uses Software

• SLEIGN2

Cites Work

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• A Krein space approach to symmetric ordinary differential operators with an indefinite weigth function
• Spectral theory of ordinary differential operators
• Oscillation theory for Sturm–Liouville problems with indefinite coefficients
• On the m -Coefficient of Weyl for a Differential Equation with an Indefinite Weight Function
• Orthogonal Systems of Eigenvectors and Associated Vectors for Symmetric Holomorphic Operator Functions
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code
• On a Property of the M -Coefficient of a Secondorder Linear Differential Equation

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