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On an Inverse Problem for Sturm-Liouville Equation
Döne Karahan, Khanlar R. Mamedov
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Finite-difference approximation of the inverse Sturm-Liouville problem with frozen argument
Applied Mathematics and Computation, 2021This paper deals with the discrete system being the finite-difference approximation of the Sturm-Liouville problem with frozen argument. The inverse problem theory is developed for this discrete system. We describe the two principal cases: degenerate and
N. Bondarenko
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A partial inverse Sturm‐Liouville problem on an arbitrary graph
Mathematical methods in the applied sciences, 2021The Sturm‐Liouville operator with singular potentials of class W2−1 on a graph of arbitrary geometrical structure is considered. We study the partial inverse problem, which consists in the recovery of the potential on a boundary edge of the graph from a ...
N. Bondarenko
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Physica Scripta, 2021
This work deals with the pseudospectral method to solve the Sturm-Liouville eigenvalue problems with Caputo fractional derivative using Chebyshev cardinal functions.
Alireza Afarideh +3 more
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This work deals with the pseudospectral method to solve the Sturm-Liouville eigenvalue problems with Caputo fractional derivative using Chebyshev cardinal functions.
Alireza Afarideh +3 more
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Trace formula and inverse nodal problem for a conformable fractional Sturm-Liouville problem
Inverse Problems in Science and Engineering, 2020In this paper, we have developed the spectral theory for a conformable fractional Sturm-Liouville problem with boundary conditions which include conformable fractional derivatives of order α, , and prove a completeness theorem and an expansion theorem ...
H. Mortazaasl, Jodayree Akbarfam
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Half-inverse Sturm–Liouville problem on a time scale
Inverse Problems, 2020In this paper, we consider a half-inverse Sturm–Liouville problem on a time scale which is the union of an interval and another time scale such as . We give a Hochstadt–Lieberman-type theorem for a Sturm–Liouville dynamic equation with Robin boundary ...
Ayten Ozkan, İ. Adalar
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On a method for solving the inverse Sturm–Liouville problem
Journal of Inverse and Ill-Posed Problems, 2019A method for solving the inverse Sturm–Liouville problem on a finite interval is proposed. It is based on a Fourier–Legendre series representation of the integral transmutation kernel. Substitution of the representation into the Gel’fand–Levitan equation
V. Kravchenko
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Optimal control of a fractional Sturm–Liouville problem on a star graph
, 2020This paper is devoted to elliptic fractional boundary value problems of Sturm–Liouville type on an interval and on a general star graph. We first give some existence and uniqueness results on an open bounded real interval, prove the existence of ...
G. Mophou +2 more
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