An inverse Sturm-Liouville problem with a fractional derivative [PDF]
Journal of Computational Physics, 2012 In this paper, we numerically investigate an inverse problem of recovering the potential term in a fractional Sturm-Liouville problem from one spectrum.
Bangti Jin +32 more
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Decent flow methods for inverse Sturm–Liouville problem
Applied Mathematical Modelling, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qin Gao
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Eigenparameter Dependent Inverse Sturm-Liouville Problems [PDF]
Numerical Functional Analysis and Optimization, 2003 Abstract Uniqueness of and numerical techniques for the inverse Sturm-Liouville problem with eigenparameter dependent boundary conditions will be discussed. We will use a Gel'fand-Levitan technique to show that the potential q in can be uniquely determined using spectral data.
C. Maeve McCarthy, William Rundell
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Inverse nodal problem for a class of nonlocal sturm‐liouville operator
Mathematical Modelling and Analysis, 2010 Inverse nodal problem consists in constructing operators from the given nodes (zeros) of their eigenfunctions. In this work, the Sturm‐Liouville problem with one classical boundary condition and another nonlocal integral boundary condition is considered.
Chuan-Fu Yang
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Partial Inverse Sturm-Liouville Problems
Mathematics, 2023 This paper presents a review of both classical and modern results pertaining to partial inverse spectral problems for differential operators. Such problems consist in the recovery of differential expression coefficients in some part of the domain (a finite interval or a geometric graph) from spectral characteristics, while the coefficients in the ...
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Inverse Sturm–Liouville problems with pseudospectral methods
International Journal of Computer Mathematics, 2014 In this paper a technique to obtain a first approximation for singular inverse Sturm–Liouville problems with a symmetrical potential is introduced. The singularity, as a result of unbounded domain −∞, ∞, is treated by considering numerically the asymptotic limit of the associated problem on a finite interval −L, L.
Altundag, H., Boeckmann, C., Taseli, H.
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Inverse spectral problem for Sturm-Liouville operator with discontinuous coefficient and cubic polynomials of spectral parameter in boundary condition [PDF]
, 2015 In this paper, the inverse scattering problem for the Sturm-Liouville operator with discontinuous coefficient and cubic polynomials of the spectral parameter in the boundary condition is considered.
Aynur Çöl
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Inverse spectral problems for non-selfadjoint second-order differential operators with Dirichlet boundary conditions [PDF]
, 2013 [[abstract]]We study the inverse problem for non-selfadjoint Sturm-Liouville operators on a finite interval with possibly multiple spectra. We prove the uniqueness theorem and obtain constructive procedures for solving the inverse problem along with the ...
Chung-Tsun Shieh +2 more
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An Inverse Spectral Problem for Sturm – Liouville Operators with Singular Potentials on Graphs with a Cycle [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2019 This paper is devoted to the solution of inverse spectral problems for Sturm – Liouville operators with singular potentials from class W2−1 on graphs with a cycle.
Vasilev, Sergei V.
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Spectrum completion and inverse Sturm–Liouville problems
Mathematical Methods in the Applied Sciences, 2022 Given a finite set of eigenvalues of a regular Sturm–Liouville problem for the equation , the potential of which is unknown. We show the possibility to compute more eigenvalues without any additional information on the potential . Moreover, considering the Sturm–Liouville problem with the boundary conditions and , where are some constants, we ...
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