A singular Sturm-Liouville problem with limit circle endpoints and eigenparameter dependent boundary conditions

DOI10.1155/2017/9673846zbMath1372.34055OpenAlexW2601826087WikidataQ59143352 ScholiaQ59143352MaRDI QIDQ2398802

Zhaowen Zheng, Jinming Cai

Publication date: 21 August 2017

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/9673846

zbMATH Keywords

singular Sturm-Liouville problemeigenparameter dependent boundary conditionslimit circle endpoints

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (6)

A discontinuous Sturm-Liouville problem with boundary conditions rationally dependent on the eigenparameter ⋮ Lyapunov type inequalities for the Riemann-Liouville fractional differential equations of higher order ⋮ Dependence of eigenvalues of 2\(n\)th order boundary value transmission problems ⋮ Inverse spectral problems for discontinuous Sturm-Liouville problems of Atkinson type ⋮ Inverse spectral problem for Sturm-Liouville operator with coupled eigenparameter-dependent boundary conditions of Atkinson type ⋮ Solvability and coerciveness of multi-point Sturm-Liouville problems with abstract linear functionals

Cites Work

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• Generalized variational principles on oscillation for nonlinear nonhomogeneous differential equations
• Interval oscillation criteria for a forced second-order nonlinear differential equations with damping
• Characterization of eigenvalues in spectral gap for singular differential operators
• Generalized variational oscillation principles for second-order differential equations with mixed-nonlinearities
• Sturm-Liouville problems with eigendependent boundary and transmissions conditions
• Oscillation criteria for forced second order differential equations with mixed nonlinearities
• Spectral theory of ordinary differential operators
• Floquet theory for left-definite Sturm-Liouville problems
• Eigenvalues and normalized eigenfunctions of discontinuous Sturm-Liouville problem with transmission conditions
• Eigenvalues below the lower bound of minimal operators of singular Hamiltonian expressions
• Spectral properties of Sturm-Liouville operators with discontinuities at finite points
• Sturm-Liouville problems with discontinuities at two points
• Some spectral properties of Sturm-Liouville problem with transmission conditions
• Discontinuous Sturm-Liouville problems containing eigenparameter in the boundary conditions
• Invariance of deficiency indices under perturbation for discrete Hamiltonian systems
• Asymptotic formulations of the eigenvalues and eigenfunctions for a boundary value problem
• Asymptotic behavior of a differential operator with discontinuities at two points
• Classification of Sturm–Liouville differential equations with complex coefficients and operator realizations
• Two-point boundary value problems with eigenvalue parameter contained in the boundary conditions
• One-dimensional Schrödinger operators with local point interactions.

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