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A nodal inverse problem for measure geometric Laplacians
Communications in Nonlinear Science and Numerical Simulation, 2021zbMATH 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, 2006Summary: 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.
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The inverse problem using nodal position data
26th IEEE Conference on Decision and Control, 1987Uniqueness theorems and algorithms are presented for solving inverse problems where the data is nodal positions.
Joyce McLaughlin, Ole Hald
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Examples of Inverse Nodal Problems
1990In 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
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Incomplete Inverse Spectral and Nodal Problems for Differential Pencils
Results in Mathematics, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Buterin, S. A., Shieh, C.-T.
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Inverse nodal problem for p–laplacian dirac system
Mathematical Methods in the Applied Sciences, 2016In 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 +2 more
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Inverse nodal problems for singular diffusion equation
Mathematical Methods in the Applied SciencesIn 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, 2005The 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 MatematikazbMATH Open Web Interface contents unavailable due to conflicting licenses.
Unal Ic, Hikmet Koyunbakan
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An inverse nodal problem for integro-differential operators
jiip, 2010Abstract The inverse nodal problem of recovering integral-differential operators with the Sturm–Liouville differential part and the integral part of Volterra type is studied. We reconstruct the potential and the boundary conditions provided the kernel of integral perturbation is known.
Kuryshova, Yulia V., Shieh, Chung-Tsun
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