Fractional Sturm–Liouville problem
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Klimek, M., Agrawal, O. P.
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Inverse Sturm-Liouville problem with analytical functions in the boundary condition
The inverse spectral problem is studied for the Sturm-Liouville operator with a complex-valued potential and arbitrary entire functions in one of the boundary conditions.
Bondarenko Natalia Pavlovna
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Programmable Multifunctional Bistable Structures for Energy Transfer and Dissipation. [PDF]
Utilizing the energy conversion characteristics of asymmetric bistable beams, this study develops a programmable multifunctional system composed of multiple bistable beams for energy transfer and dissipation. The high energy density enables the system to demonstrate potential in transient scenarios such as target delivery and shock absorption ...
Na X +6 more
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On the Jost Solutions of A Class of the Quadratic Pencil of the Sturm-Liouville Equation
In this study we construct new integral representations of Jost-type solutions of the quadratic pencil of the Sturm-Liouville equation with the piece-wise constant coefficient on the entire real line.
Döndü Nurten Cücen, Anar Adiloğlu
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Inverse Eigenvalue Problems for Singular Rank One Perturbations of a Sturm-Liouville Operator
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]
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]
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]
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
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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An accurate method for solving a class of fractional Sturm-Liouville eigenvalue problems
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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