An inverse nodal problem and Ambarzumyan problem for the periodic \(p\)-Laplacian operator with integrable potentials

DOI10.11650/TJM.19.2015.5481zbMath1357.34036OpenAlexW1897774622MaRDI QIDQ514930

Wei-Cheng Lian, Yan-Hsiou Cheng, Wei-Chuan Wang, Chun-Kong Law

Publication date: 9 March 2017

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/tjm.19.2015.5481

zbMATH Keywords

inverse nodal problem\(p\)-Laplacianperiodic eigenvaluesAmbarzumyan problem

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators (34L20) Inverse problems involving ordinary differential equations (34A55)

Related Items (4)

Inverse nodal problems for the \(p\)-Laplacian with eigenparameter dependent energy functions ⋮ Solution of the inverse problem for Bessel operator on an interval \([1, a\)] ⋮ Reconstruction and stability of inverse nodal problems for energy-dependent \(p\)-Laplacian equations ⋮ Some remarks on a nonhomogeneous eigenvalue problem related to generalized trigonometric functions

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