Eigenvalues of fourth-order boundary value problems with self-adjoint canonical boundary conditions

DOI10.1007/s40840-018-00714-4zbMath1453.34029OpenAlexW2907342227MaRDI QIDQ2302060

Xiao-Xia Lv, Ji-jun Ao

Publication date: 25 February 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-018-00714-4

zbMATH Keywords

eigenvaluesfourth-order boundary value problemsdifferential expression, self-adjoint canonical boundary conditions

Mathematics Subject Classification ID

Linear boundary value problems for ordinary differential equations (34B05) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

Eigenvalues of discontinuous third-order boundary value problems with eigenparameter-dependent boundary conditions ⋮ Dependence of eigenvalues of Sturm-Liouville problems on time scales with eigenparameter-dependent boundary conditions ⋮ Dependence of eigenvalues of Sturm-Liouville problems with eigenparameter-dependent boundary conditions and interface conditions

Uses Software

• SLEUTH

Cites Work

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• Qualitative analysis of eigenvalues and eigenfunctions of one boundary value-transmission problem
• Eigenvalues of a class of regular fourth-order Sturm-Liouville problems
• Canonical forms of self-adjoint boundary conditions for differential operators of order four
• Eigenvalues variation. I: Neumann problem for Sturm--Liouville operators
• Dependence of eigenvalues of a class of fourth-order Sturm-Liouville problems on the boundary
• Sturm-Liouville problems on time scales with separated boundary conditions
• The classification of self-adjoint boundary conditions: separated, coupled, and mixed
• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Dependence of eigenvalues of Sturm- Liouville problems with interface conditions
• Eigenvalues of regular Sturm-Liouville problems
• Dependence of eigenvalues of Sturm-Liouville problems on the boundary
• Inequalities among eigenvalues of Sturm-Liouville problems with distribution potentials
• An initial value method for the eigenvalue problem for systems of ordinary differential equations
• Regular approximations of singular Sturm-Liouville problems
• Dependence of eigenvalues of fourth-order differential equations with discontinuous boundary conditions on the problem
• Algorithm 775
• Dependence of Eigenvalues on the Problem
• Solvability of fourth‐order Sturm‐Liouville problems with abstract linear functionals in boundary‐transmission conditions
• Eigenvalues of regular fourth‐order Sturm–Liouville problems with transmission conditions
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code

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