Asymptotics of eigencurves for second order ordinary differential equations. II

DOI10.1016/0022-0396(91)90120-XzbMath0738.34043OpenAlexW4212849897MaRDI QIDQ1174304

Patrick J. Browne, Paul A. Binding

Publication date: 25 June 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(91)90120-x

zbMATH Keywords

asymptotic developmentseigencurveregular two parameter Sturm- Liouville problem

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) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items (8)

Unnamed Item ⋮ Eigencurves of non-definite Sturm-Liouville problems for the \(p\)-Laplacian ⋮ Nonlinear multiparameter eigenvalue problems: linearised and nonlinearised solutions ⋮ Computing eigenpairs of two-parameter Sturm-Liouville systems using the bivariate sinc-Gauss formula ⋮ Perturbation of nonlinear operators in the theory of nonlinear multifrequency electromagnetic wave propagation ⋮ Two parameter asymptotic spectra in the uniformly elliptic case ⋮ Two-parameter nonlinear Sturm-Liouville problems ⋮ Spectral asymptotics of nonlinear elliptic two-parameter problems

Cites Work

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• Asymptotics of eigencurves for second order ordinary differential equations. I
• The least eigenvalue of Hill's equation
• Eigencurves for two-parameter self-adjoint ordinary differential equations of even order
• Stability theorems for singular perturbation of eigenvalues
• Stability regions for Hill's equation
• Discrete and continuous boundary problems
• Oscillation of Eigenfunctions of Weighted Regular Sturm-Liouville Problems
• Hill’s Equation with a Large Potential
• Spectral properties of two parameter eigenvalue problems II
• [https://portal.mardi4nfdi.de/wiki/Publication:4104239 Exponential Solutions of y � � + (r - q)y = 0 and the Least Eigenvalue of Hill's Equation]
• On the Coexistence Problem for a Special Hill's Equation
• Asymptotic Formulae for the Eigenvalues of a Two-Parameter Ordinary Differential Equation of the Second Order
• A Special Hill's Equation with Discontinuous Coefficients
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations

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