Results 151 to 160 of about 55,217 (179)

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
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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
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Unal Ic, Hikmet Koyunbakan
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A solution of the inverse nodal problem

Inverse Problems, 1997
The author considers the Sturm-Liouville problem \[ - y''+q(x)y=\lambda y, \qquad y(0)\cos\alpha+ y'(0)\sin\alpha=0, \quad y(1)\cos\beta+ y'(1)\sin\beta=0 \] and demonstrates how the potential function \(q(x)\) can be determined from observable eigenfunction nodes when either \(\alpha\) or \(\beta=0\) but not both. This extends work by \textit{O.
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Inverse nodal problem for polynomial pencil of Sturm‐Liouville operator

Mathematical Methods in the Applied Sciences, 2018
The paper is about boundary value problem for polynomial pencil of Sturm‐Liouville operators. Especially, we find all coefficients of the operator by using nodal points (zeros of eigenfunctions). Regularly, we find eigenvalues, nodal points, and nodal lengths by Prüfer substitution.
Sertac Goktas, Hikmet Koyunbakan, Tuba Gulsen   +2 more
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Solutions to open problems of Yang concerning inverse nodal problems

Israel Journal of Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The inverse nodal problem and the Ambarzumyan problem for the p-Laplacian

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2009
We study the issues of the reconstruction and stability of the inverse nodal problem for the one-dimensional p-Laplacian eigenvalue problem. A key step is the application of a modified Prüfer substitution to derive a detailed asymptotic expansion for the eigenvalues and nodal lengths. Two associated Ambarzumyan problems are also solved.
Law, C. K., Lian, Wei-Cheng, Wang, Wei-Chuan   +2 more
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Inverse nodal problems for Sturm–Liouville equations on graphs

Inverse Problems, 2007
We consider inverse nodal problems on graphs. Eigenfunction and eigenvalue asymptotic approximations are used to provide an asymptotic expression for the spacing of nodal points on each edge of the graph. Based on this, the uniqueness of the potential for given nodal data is proved and we give a construction of q as a limit, in , of a sequence of ...
Sonja Currie, Bruce A Watson
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On the well-posedness of the inverse nodal problem

Inverse Problems, 2001
Let \(x_k^{(n ...
Law, C. K., Tsay, Jhishen
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