Solutions of Sturm-Liouville Problems [PDF]
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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Inverse Sturm-Liouville problem with analytical functions in the boundary condition
Open Mathematics, 2020 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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Inverse Non-Uniqueness of Vibration System With Frozen Arguments and Certain Partial Information
Journal of Function SpacesIn this paper, we investigate the inverse spectral problem of the Sturm–Liouville operator with two frozen arguments fixed at the points x=a1,a2 in 0,π. We will discuss the non-uniqueness with certain prior information provided on the potential function ...
Lung-Hui Chen
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Inverse Sturm-Liouville problem with discontinuity conditions
Sahand Communications in Mathematical Analysis, 2014 This paper deals with the boundary value problem involving the di erential equation ly := -y''+qy = λy, subject to the standard boundary conditions along with the following discontinuity conditions at a point a ε(0,π) y(a + 0) = a1y(a - 0),
Mohammad Shahriari +1 more
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Recovery of Inhomogeneity from Output Boundary Data
Mathematics, 2022 We consider the Sturm–Liouville equation on a finite interval with a real-valued integrable potential and propose a method for solving the following general inverse problem.
Vladislav V. Kravchenko +2 more
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Solving an Inverse Sturm-Liouville Problem by a Lie-Group Method
Boundary Value Problems, 2008 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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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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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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Inverse Conformable Sturm-Liouville Problems with a Transmission and Eigen-Parameter Dependent Boundary Conditions [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this paper, we provide a different uniqueness results for inverse spectral problems of conformable fractional Sturm-Liouville operators of order $\alpha$ ($0 < \alpha\leq 1$), with a jump and eigen-parameter dependent boundary conditions. Further,
Mohammad Shahriari, Reza Akbari
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Identification of the coefficients of equation for a vibrating rod in acoustic diagnostics
Вестник КазНУ. Серия математика, механика, информатика, 2020 The work is devoted to the study solving some inverse problem of identifying the coefficients of Sturm-Liouville operator. Inverse problems in vibration are concerned with constructing a vibrating system of a particular type, e.g., a string, a rod, that
Zh.A. Kaiyrbek
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