The distribution of the eigenvalues for second order eigenvalue problems in the presence of an arbitrary number of turning points

DOI10.1007/BF03323070zbMath0777.34055MaRDI QIDQ1193212

Gerhard Freiling, Walter Eberhard

Publication date: 27 September 1992

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

turning pointsboundary eigenvalue problemssecond order differential equationsasymptotic distribution of eigenvaluesasymptotic estimates for fundamental systemsBirkhoff-regularitynonselfadjoint case

Mathematics Subject Classification ID

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

Related Items (9)

On the asymptotic distribution of the eigenvalues of singular Sturm-Liouville problems with an indefinite weight function ⋮ Unnamed Item ⋮ Connection Formulas for Second Order Differential Equations with a Complex Parameter and Having an Arbitrary Number of Turning Points ⋮ On the Eigenvalues of Half-Linear Boundary Value Problems ⋮ Irregular boundary value problems revisited ⋮ Existence and asymptotics of eigenvalues of indefinite systems of Sturm-Liouville and Dirac type ⋮ Higher-order asymptotic formula for the eigenvalues of Sturm-Liouville problem with \(n\) turning points ⋮ Inverse spectral problems for differential equations on the half-line with turning points ⋮ Spectral asymptotics for Sturm-Liouville equations with indefinite weight

Cites Work

• Unnamed Item
• Unnamed Item
• On the eigenvalues of nonselfadjoint problems involving indefinite weights
• On the distribution of the eigenvalues of a class of indefinite eigenvalue problems
• The asymptotic solutions of an ordinary differential equation in which the coefficient of the parameter is singular
• Eigenvalues of Elliptic Boundary Value Problems With an Indefinite Weight Function
• Distribution of Eigenvalues in the Presence of Higher Order Turning Points
• On the zeros of exponential sums and integrals
• Connection Formulas for Second Order Differential Equations with a Complex Parameter and Having an Arbitrary Number of Turning Points

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