Determination of a differential operator with discontinuity from interior spectral data

DOI10.1080/17415977.2013.848436zbMath1329.34039OpenAlexW2009021847MaRDI QIDQ3465081

Yasser Khalili, Abdolali Neamaty

Publication date: 28 January 2016

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2013.848436

zbMATH Keywords

inverse problemSturm-Liouville operatorinterior spectral datadiscontinuous condition

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55)

Related Items (10)

Inverse nodal problem for discontinuous Sturm-Liouville operator by new Prüfer substitutions ⋮ Determination of a differential pencil from interior spectral data on a union of two closed intervals ⋮ Solving symmetric inverse Sturm-Liouville problem using Chebyshev polynomials ⋮ A uniqueness result for differential pencils with discontinuities from interior spectral data ⋮ The interior inverse boundary value problem for the impulsive Sturm-Liouville operator with the spectral boundary conditions ⋮ Determination of an impulsive diffusion operator from interior spectral data ⋮ On the relationship between the turning and singular points in Sturm–Liouville equations ⋮ Recovering differential pencils with spectral boundary conditions and spectral jump conditions ⋮ Inverse problems for the impulsive Sturm–Liouville operator with jump conditions ⋮ Well-posedness of inverse Sturm-Liouville problem with fractional derivative

Cites Work

• An interior inverse problem for the Sturm-Liouville operator with discontinuous conditions
• Inverse nodal problem for differential pencils
• Jost solutions and the spectrum of the system of difference equations.
• On the uniqueness of the solution of dual equation of a singular Sturm-Liouville problem
• The differential pencils with turning point on the half line
• Inverse spectral problems for differential pencils on the half-line with turning points
• An interior inverse problem for discontinuous boundary-value problems
• Inverse problem for interior spectral data of the Sturm – Liouville operator
• On the Canonical Solution of the Sturm–Liouville Problem with Singularity and Turning Point of Even Order
• ON THE DETERMINATION OF THE STURM-LIOUVILLE OPERATOR FROM ONE AND TWO SPECTRA
• Inverse spectral problems for singular non-selfadjoint differential operators with discontinuities in an interior point
• Half-inverse spectral problems for Sturm–Liouville operators with singular potentials

This page was built for publication: Determination of a differential operator with discontinuity from interior spectral data