Traces and inverse nodal problem for Sturm-Liouville operators with frozen argument

DOI10.1016/J.AML.2019.106096zbMath1444.34076OpenAlexW2982187269MaRDI QIDQ2184907

Yi-Teng Hu, Chuan-Fu Yang, Natalia Pavlovna Bondarenko

Publication date: 2 June 2020

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.106096

zbMATH Keywords

inverse nodal problemSturm-Liouville operatorstrace formulafrozen argument

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) General theory of ordinary differential operators (47E05) Inverse problems for functional-differential equations (34K29) Spectral theory of functional-differential operators (34K08)

Related Items (14)

Necessary and sufficient conditions for the spectra of the Sturm-Liouville operators with frozen argument ⋮ Regularized trace for operators on a separable Banach space ⋮ Inverse spectral problems for Hill-type operators with frozen argument ⋮ The numerical solution of inverse nodal problem for integro-differential operator by Legendre wavelet method ⋮ Uniqueness of the potential in conformable Sturm‐Liouville problem ⋮ Sturm–Liouville‐type operators with frozen argument and Chebyshev polynomials ⋮ Inverse nodal problem for Dirac operator with integral type nonlocal boundary conditions ⋮ Inverse nodal problems for Sturm–Liouville operators on quantum star graphs ⋮ Finite-difference approximation of the inverse Sturm-Liouville problem with frozen argument ⋮ Reconstruction for Sturm-Liouville operators with frozen argument for irrational cases ⋮ Traces for Sturm-Liouville operators with frozen argument on star graphs ⋮ Reconstruction of potential in discrete Sturm-Liouville problem ⋮ Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition ⋮ Inverse nodal problems for Sturm-Liouville equation with nonlocal boundary conditions

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