Continuous dependence of the \(n\)-th eigenvalue of self-adjoint discrete Sturm-Liouville problems on the problem

DOI10.1016/j.jde.2015.12.027zbMath1383.39011arXiv1505.07536OpenAlexW2232236894MaRDI QIDQ2634211

Hao Zhu, Yuming Shi

Publication date: 8 February 2016

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

Full work available at URL: https://arxiv.org/abs/1505.07536

zbMATH Keywords

asymptotic behaviorcontinuous dependenceself-adjoint discrete Sturm-Liouville problemthe \(n\)-th eigenvalue function

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Discrete version of topics in analysis (39A12) Difference operators (39A70)

Related Items (7)

Jump phenomena of the n-th eigenvalue of discrete Sturm–Liouville problems with application to the continuous case ⋮ Eigenvalues of Sturm-Liouville problems with distributional potentials and eigenparameter-dependent boundary conditions ⋮ Unnamed Item ⋮ Eigenvalues of discontinuous third-order boundary value problems with eigenparameter-dependent boundary conditions ⋮ Inequalities among eigenvalues of different self-adjoint discrete Sturm-Liouville problems ⋮ 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

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