Results 11 to 20 of about 3,611 (205)
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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In this paper, relations between discrete Sturm--Liouville problem with nonlocal integral boundary condition characteristics (poles, critical points, spectrum curves) and graphs characteristics (vertices, edges and faces) were found. The previous article
Jonas Vitkauskas, Artūras Štikonas
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Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method
Solving an inverse Sturm-Liouville problem requires a mathematical process to determine unknown function in the Sturm-Liouville operator from given data in addition to the boundary values.
Chein-Shan Liu
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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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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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Inverse eigenvalue problems for rank one perturbations of the Sturm-Liouville operator
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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The Principle of Localization at the Class of Functions Integrable in the Riemann for the Processes of Lagrange - Sturm - Liouville [PDF]
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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