On eigenvalues of some boundary value problems for a polynomial pencil of Sturm--Liouville equation

DOI10.1016/J.AMC.2004.04.116zbMath1084.34074OpenAlexW2086072476MaRDI QIDQ1780512

Agamali Agamaliyev, Anar Nabiyev

Publication date: 13 June 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.04.116

zbMATH Keywords

Boundary value problemsEigenvaluesEigenfunctionsAsymptotic formulasFractional derivativesPolynomial pencilsSpectral theory of differential operatorsSturm-Liouvillc equationTheory of complex functionsTransformation operators

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20)

Related Items (1)

Spectral parameter power series for Sturm-Liouville equations with a potential polynomially dependent on the spectral parameter and Zakharov-Shabat systems

Cites Work

• Unnamed Item
• On a transformation operator
• Transformation operators and asymptotic formulas for the eigenvalues of a polynomial pencil of Sturm--Liouville operators

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