Dependence of eigenvalues of fourth-order differential equations with discontinuous boundary conditions on the problem

DOI10.1016/j.jmaa.2017.07.021zbMath1372.34043OpenAlexW2738954299MaRDI QIDQ2401847

Xiao-Xia Lv, Anton Zettl, Ji-jun Ao

Publication date: 5 September 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.07.021

zbMATH Keywords

differential expressiontransmission conditionsdependence of eigenvaluesfourth-order boundary value problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (10)

Dependence of eigenvalues of fourth-order boundary value problems with transmission conditions ⋮ Eigenvalues of a class of eigenparameter dependent third-order differential operators ⋮ Eigenvalues of one-dimensional Hamiltonian operators with an eigenparameter in the boundary condition ⋮ Dependence of eigenvalues of Dirac system on the parameters ⋮ On the spectrum of a quasi-differential boundary value problem of the second-order ⋮ Unnamed Item ⋮ Eigenvalues of discontinuous third-order boundary value problems with eigenparameter-dependent boundary conditions ⋮ Eigenvalues of fourth-order boundary value problems with self-adjoint canonical 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

Cites Work

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• Dependence of the \(n\)th Sturm-Liouville eigenvalue on the problem
• Dependence of eigenvalues of Sturm- Liouville problems with interface conditions
• The finite spectrum of fourth-order boundary value problems with transmission conditions
• Floquet theory for left-definite Sturm-Liouville problems
• Differential equations on networks (geometric graphs)
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• Eigenvalues of regular Sturm-Liouville problems
• Regular approximations of singular Sturm-Liouville problems
• Problems for Ordinary Differential Equations with Transmission Conditions
• Algorithm 810: The SLEIGN2 Sturm-Liouville Code

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