A new approach to uniqueness for inverse Sturm-Liouville problems on finite intervals

S Mosazadeh - Turkish Journal of Mathematics, 2017 - journals.tubitak.gov.tr
In this paper, an approach for studying inverse Sturm--Liouville problems with integrable
potentials on finite intervals is presented. We find the relations between Weyl solutions and …

A uniqueness theorem for Bessel operator from interior spectral data

M Sat, ES Panakhov - Abstract and Applied Analysis, 2013 - Wiley Online Library
Inverse problem for the Bessel operator is studied. A set of values of eigenfunctions at some
internal point and parts of two spectra are taken as data. Uniqueness theorems are …

Reconstruction of the Sturm-Liouville operator with discontinuities from a particular set of eigenvalues

X Xu, C Yang - Applied Mathematics-A Journal of Chinese Universities, 2018 - Springer
Sturm-Liouville operators on a finite interval with discontinuities are considered. We give a
uniqueness theorem for determining the potential and the parameters in boundary and …

[PDF][PDF] A uniqueness theorem on the inverse problem for the Dirac operator

YP Wang, M Sat - Electronic Journal of Differential Equations, 2016 - ejde.math.txstate.edu
A UNIQUENESS THEOREM ON THE INVERSE PROBLEM FOR THE DIRAC OPERATOR 1.
Introduction The inverse spectral problem for a differenti Page 1 Electronic Journal of …

[PDF][PDF] A Survey of the Earth Dams by Sturm-Liouville Equations-The Singular Case.

A Neamaty, Y Khalili - Malaysian Journal of Mathematical …, 2022 - mjms.upm.edu.my
In this work, we investigate the vibrations of embankments by the singular Sturm-Liouville
equations. At first, we create the mathematical form of the vibrations by the shear beam (SB) …

A uniqueness theorem for indefinite Sturm-Liouville operators

Y Wang - Applied Mathematics-A Journal of Chinese Universities, 2012 - Springer
In this paper, we discuss the inverse problem for indefinite Sturm-Liouville operators on the
finite interval [a, b]. For a fixed index n (n= 0, 1, 2,…), given the weight function ω (x), we will …

The Borg's Theorem for Singular Sturm-Liouville Problem with Non-Separated Boundary Conditions

M Bagherzadeh, A Neamaty - Mathematics Interdisciplinary …, 2023 - mir.kashanu.ac.ir
‎ In this paper‎,‎ we consider a Sturm-Liouville equation with non-separated boundary
conditions on a finite interval‎.‎ We discuss some properties of solutions of the Sturm-Liouville …

有限区间上的扩散算子的惟一性定理

王於平 - 数学物理学报, 2013 - manu45.magtech.com.cn
有限区间上的扩散算子的惟一性定理 数学物理学报 首页 期刊信息 期刊简介 编委会 被收录情况
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[PDF][PDF] Reconstructing the potential function for indefinite Sturm-Liouville problems using infinite product forms

M Dehghan, AA Jodayree - Electronic Journal of Differential …, 2013 - academia.edu
In this article we consider the linear second-order equation of Sturm-Liouville type
y′′+(λφ2 (t)− q (t)) y= 0, 0≤ t≤ 1, where λ is a real parameter, q (t) is the potential function …

[引用][C] 一类奇型Sturm-Liouville 算子的逆问题

王於平, 杨传富, 黄振友 - 数学年刊: A 辑, 2011