Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
Advances in Mathematical Physics, 2021 This paper is concerned with the inverse eigenvalue problem for singular rank one perturbations of a Sturm-Liouville operator. We determine uniquely the potential function from the spectra of the Sturm-Liouville operator and its rank one perturbations.
Xuewen Wu
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Fractional Sturm-Liouville eigenvalue problems, II [PDF]
, 2017 We continue the study of a non self-adjoint fractional three-term Sturm-Liouville boundary value problem (with a potential term) formed by the composition of a left Caputo and left-Riemann-Liouville fractional integral under {\it Dirichlet type} boundary
Dehghan, Mohammad, Mingarelli, Angelo B.
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Variational methods for fractional $q$-Sturm--Liouville Problems [PDF]
, 2016 In this paper, we formulate a regular $q$-fractional Sturm--Liouville problem (qFSLP) which includes the left-sided Riemann--Liouville and the right-sided Caputo $q$-fractional derivatives of the same order $\alpha$, $\alpha\in (0,1)$.
Mansour, Zeinab S. I.
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Asymptotic properties of eigenvalues and eigenfunctions of a Sturm-Liouville problem with discontinuous weight function [PDF]
, 2013 In this paper, by using the similar methods of [O. Sh. Mukhtarov and M. Kadakal, Some spectral properties of one Sturm-Liouville type problem with discontinuous weight, Siberian Mathematical Journal, 46 (2005) 681-694] we extend some spectral properties ...
Şen, Erdoğan
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On partial fractional Sturm–Liouville equation and inclusion
Advances in Difference Equations, 2021 The Sturm–Liouville differential equation is one of interesting problems which has been studied by researchers during recent decades. We study the existence of a solution for partial fractional Sturm–Liouville equation by using the α-ψ-contractive ...
Zohreh Zeinalabedini Charandabi +3 more
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Solutions of Sturm-Liouville Problems
Mathematics, 2020 This paper further improves the Lie group method with Magnus expansion proposed in a previous paper by the authors, to solve some types of direct singular Sturm–Liouville problems.
Upeksha Perera, Christine Böckmann
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An accurate method for solving a class of fractional Sturm-Liouville eigenvalue problems
Results in Physics, 2018 This article is devoted to both theoretical and numerical study of the eigenvalues of nonsingular fractional second-order Sturm-Liouville problem. In this paper, we implement a fractional-order Legendre Tau method to approximate the eigenvalues.
Bothayna S.H. Kashkari, Muhammed I. Syam
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Inverse eigenvalue problems for rank one perturbations of the Sturm-Liouville operator
Open Mathematics, 2022 This article is concerned with the inverse eigenvalue problem for rank one perturbations of the Sturm-Liouville operator. I obtain the relationship between the spectra of the Sturm-Liouville operator and its rank one perturbations, and from the spectra I
Wu Xuewen
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Classical and Quantum Complexity of the Sturm-Liouville Eigenvalue Problem [PDF]
, 2005 We study the approximation of the smallest eigenvalue of a Sturm-Liouville problem in the classical and quantum settings. We consider a univariate Sturm-Liouville eigenvalue problem with a nonnegative function $q$ from the class $C^2([0,1])$ and study ...
Papageorgiou, A., Wozniakowski, H.
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The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange - Sturm - Liouville [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2020 Let us say that the principle of localization holds at the class of functions $F$ at point $x_0 \in [0, \pi]$ for the Lagrange\,--\,Sturm\,--\,Liouville interpolation process $L_n^{SL}(f,x)$ if $\lim_{n \rightarrow \infty}\left|L_n^{SL}(f, x_0)-L_n^{SL ...
Aleksandr Yurievich Trynin +1 more
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