Results 1 to 10 of about 11,899 (198)
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
doaj +6 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +2 more sources
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
doaj +1 more source
The Regulator Problem to the Convection–Diffusion Equation
Mathematics, 2023 In this paper, from linear operator, semigroup and Sturm–Liouville problem theories, an abstract system model for the convection–diffusion (C–D) equation is proposed.
Andrés A. Ramírez, Francisco Jurado
doaj +1 more source
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 It is known that the eigenvalues λn(n = 1, 2, ...) numbered in decreasing order and taking the multiplicity of the self-adjoint Sturm-Liouville operator with a completely continuous inverse operator L−1 have the following property (∗) λn → 0, when n → ∞,
M.B. Muratbekov, M.M. Muratbekov
doaj +1 more source
Spectral properties of singular Sturm-Liouville operators with indefinite weight sgn x [PDF]
, 2007 We consider a singular Sturm-Liouville expression with the indefinite weight sgn x. To this expression there is naturally a self-adjoint operator in some Krein space associated.
Karabash, I., Trunk, C.
core +2 more sources
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
doaj +1 more source