Linear Sturm-Liouville problems with multi-point boundary conditions

DOI10.1002/MANA.201200187zbMath1286.34048OpenAlexW1525088923MaRDI QIDQ2852451

Lingju Kong, James S. W. Wong, Man Kam Kwong, Qing Kai Kong

Publication date: 8 October 2013

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.201200187

zbMATH Keywords

interlacing of eigenvaluesmulti-point boundary conditionseigenvalue multiplicity

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (7)

Linear and nonlinear, second-order problems with Sturm-Liouville-type, multi-point boundary conditions ⋮ Asymptotic behavior of solution branches of nonlocal boundary value problems ⋮ Linear Sturm-Liouville problems with general homogeneous linear multi-point boundary conditions ⋮ Asymptotic analysis of Sturm-Liouville problem with Neumann and nonlocal two-point boundary conditions ⋮ Two-point boundary value problem for a partial differential equation in spaces of periodic functions ⋮ Self-adjoint Sturm-Liouville problems with an infinite number of boundary conditions ⋮ Linear Sturm-Liouville problems with Riemann-Stieltjes integral boundary conditions

Cites Work

• Global structure of nodal solutions for second-order \(m\)-point boundary value problems with superlinear nonlinearities
• Existence and nonexistence of solutions of second-order nonlinear boundary value problems
• Nodal solutions of multi-point boundary value problems
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• On the existence of multiple solutions of the boundary value problem for nonlinear second-order differential equations.
• Eigenvalue criteria for existence of positive solutions to nonlinear boundary value problems
• Eigenvalues of regular Sturm-Liouville problems
• Spectral properties and nodal solutions for second-order, \(m\)-point boundary value problems
• Nodal solutions for \(m\)-point boundary value problems using bifurcation methods
• Nodal solutions for second-order \(m\)-point boundary value problems with nonlinearities across several eigenvalues
• Some global results for nonlinear eigenvalue problems
• Limits of Sturm–Liouville eigenvalues when the interval shrinks to an end point
• Nodal solutions for a second-order m-point boundary value problem
• Nodal solutions of second order nonlinear boundary value problems

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