Results 131 to 140 of about 48,684 (167)

Approximate solutions of inverse nodal problem with conformable derivative

2023
Summary: Our research is about the Sturm-Liouville equation which contains conformable fractional derivatives of order \(\alpha \in (0,1]\) in lieu of the ordinary derivatives. First, we present the eigenvalues, eigenfunctions, and nodal points, and the properties of nodal points are used for the reconstruction of an integral equation.
Akbarpoor, Shahrbanoo, Dabbaghian, Abdol
openaire   +2 more sources

A nodal inverse problem for measure geometric Laplacians

Communications in Nonlinear Science and Numerical Simulation, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pinasco, Juan Pablo, Scarola, Cristian
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The inverse nodal problem for Hill's equation

Inverse Problems, 2006
Summary: We study the inverse nodal problem for Hill's equation. In particular, we solve the uniqueness, reconstruction and stability problems using the nodal set of periodic (or anti-periodic) eigenfunctions. Furthermore, we show that the space of periodic potential functions \(q\) normalized by \(\int^{1}_{0} q = 0\) is homeomorphic to the partition ...
Cheng, Y. H., Law, C. K.
openaire   +1 more source

The inverse problem using nodal position data

26th IEEE Conference on Decision and Control, 1987
Uniqueness theorems and algorithms are presented for solving inverse problems where the data is nodal positions.
Joyce McLaughlin, Ole Hald
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A uniqueness theorem for inverse nodal problem

Inverse Problems in Science and Engineering, 2007
In this article, it is found that the asymptotic formulas for nodal points and nodal length for the differential operators having singularity type at the points 0 and π, it is shown that the potential function can be determined from the positions of the nodes for the eigenfunctions.
Hikmet Koyunbakan, Etibar S. Panakhov
openaire   +1 more source

Examples of Inverse Nodal Problems

1990
In this talk we will consider the following problem: What can you say about a vibrating rod, if you know the position of the nodes. A node is a point where an eigenfunction vanishes. We will assume that the mass per unit length is constant and try to determine the elasticity of the rod from the nodes. Instead of presenting general theories, (see [1,2,3]
O. H. Hald, J. R. McLaughlin
openaire   +1 more source

Inverse nodal problem for p–laplacian dirac system

Mathematical Methods in the Applied Sciences, 2016
In this study, we solve an inverse nodal problem for p‐Laplacian Dirac system with boundary conditions depending on spectral parameter. Asymptotic formulas of eigenvalues, nodal points and nodal lengths are obtained by using modified Prüfer substitution.
Gulsen, Tuba, Yilmaz, Emrah, Koyunbakan, Hikmet   +2 more
openaire   +1 more source

Inverse nodal problems for singular diffusion equation

Mathematical Methods in the Applied Sciences
In this study, some properties of the pencils of singular Sturm–Liouville operators are investigated. Firstly, the behaviors of eigenvalues and eigenfunctions is learned, then for each discontinuity point a solution of the inverse problem is given to determine the potential function and parameters , and with the help of a dense set of nodes.
Rauf Amirov, Sevim Durak
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Inverse nodal problem for singular differential operators

Journal of Inverse and Ill-posed Problems, 2005
The inverse nodal problem is solved for the boundary value problem \[ -y''+\left(\frac{\nu-1/4}{x^2}+q(x)\right)y=\lambda y,\;\;\nu>0 ...
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Inverse nodal problem with eigenparameter boundary conditions

Afrika Matematika
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Unal Ic, Hikmet Koyunbakan
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