Results 1 to 10 of about 367 (181)
Spectral properties of an impulsive Sturm–Liouville operator [PDF]
Journal of Inequalities and Applications, 2018 This work is devoted to discuss some spectral properties and the scattering function of the impulsive operator generated by the Sturm–Liouville equation.
Elgiz Bairamov +2 more
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Transformation operators for impedance Sturm–Liouville operators on the line
Математичні Студії, 2023 In the Hilbert space $H:=L_2(\mathbb{R})$, we consider the impedance Sturm--Liouville operator $T:H\to H$ generated by the differential expression $ -p\frac{d}{dx}{\frac1{p^2}}\frac{d}{dx}p$, where the function $p:\mathbb{R}\to\mathbb{R}_+$ is of ...
M. Kazanivskiy +2 more
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The trace formula for Sturm–Liouville operator with operator coefficient
Journal of Mathematical Physics, 2001 We will obtain a formula for the trace of the Sturm–Liouville operator with operator coefficient.
Erdal Gul
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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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Perturbations of periodic Sturm–Liouville operators
Advances in Mathematics, 2023 17 ...
Behrndt, Jussi +3 more
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Spectral Analysis of Non-selfadjoint Second Order Difference Equation with Operator Coefficient
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2020 In this paper, we consider the discrete Sturm-Liouville operator generated by second order difference equation with non-selfadjoint operator coefficient.
Esra Kır Arpat, Gökhan Mutlu
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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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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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Inversion of Trace Formulas for a Sturm-Liouville Operator [PDF]
Journal of Computational Mathematics, 2022 This paper revisits the classical problem "Can we hear the density of a string?", which can be formulated as an inverse spectral problem for a Sturm-Liouville operator. Based on inverting a sequence of trace formulas, we propose a new numerical scheme to reconstruct the density.
Xu, Xiang, Zhai, Jian
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Sturm-Liouville Operators [PDF]
, 2020 Second-order Sturm-Liouville differential expressions generate self-adjoint differential operators in weighted L2-spaces on an interval (a, b).
Jussi Behrndt, Seppo Hassi, Henk De Snoo
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