Safe numerical bounds for the Titchmarsh–Weyl m(λ)-function

DOI10.1017/S0305004100076222zbMath0837.65089OpenAlexW2055616160MaRDI QIDQ4272603

V. G. Kirby, Michael Plum, B. Malcolm Brown, W. Desmond Evans

Publication date: 21 May 1996

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100076222

zbMATH Keywords

second-order differential equationlimit point\(m\)-functionlimit circleTitchmarsh-Weyl \(m\)-coefficientnumerical bounds

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Numerical methods for ordinary differential equations (65L99)

Related Items (5)

Classical and vector Sturm-Liouville problems: Recent advances in singular-point analysis and shooting-type algorithms ⋮ On a new algorithm for the computation of enclosures for the Titchmarsh-Weyl \(m\)-function ⋮ On the approximation of nonlinear singular self-adjoint second order boundary value problems ⋮ On a computer assisted proof of the existence of eigenvalues below the essential spectrum of the Sturm-Liouville problem ⋮ Numerical computation and analysis of the Titchmarsh-Weyl \(m_\alpha(\lambda)\) function for some simple potentials

Cites Work

• Unnamed Item
• Numerical determination of the Titchmarsh-Weyl m -coefficient and its applications to HELP inequalities
• On the location of the Weyl circles
• A return to the Hardy-Littlewood integral inequality
• SOME INTEGRAL INEQUALITIES CONNECTED WITH THE CALCULUS OF VARIATIONS
• Complex gamma function with error control

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