Results 201 to 210 of about 55,286 (228)
Some of the next articles are maybe not open access.
A solution of the inverse nodal problem
Inverse Problems, 1997The 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.
openaire +2 more sources
Inverse nodal problem for polynomial pencil of Sturm‐Liouville operator
Mathematical Methods in the Applied Sciences, 2018The 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 +2 more
openaire +1 more source
Solutions to open problems of Yang concerning inverse nodal problems
Israel Journal of Mathematics, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
The inverse nodal problem and the Ambarzumyan problem for the p-Laplacian
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2009We 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. +2 more
openaire +1 more source
Inverse nodal problems for Sturm–Liouville equations on graphs
Inverse Problems, 2007We 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
openaire +1 more source
On the well-posedness of the inverse nodal problem
Inverse Problems, 2001Let \(x_k^{(n ...
Law, C. K., Tsay, Jhishen
openaire +1 more source
An inverse nodal problem for vectorial Sturm-Liouville equations
Inverse Problems, 2000The \(n\)-dimensional Sturm-Liouville problem \[ y''(x)+(\lambda I_n-P(x))y(x)=0,\;y(0)=y(1)=0, \tag{1} \] is considered, where \(P(x)\) is a continuous symmetric \(n\times n\) matrix-valued function defined on \([0,1]\). Let \(y\) be a continuous vector-valued function. Then \(x\) is called a nodal point of \(y(x)\) if \(y(x)=0\).
Shen, Chao-Liang, Shieh, Chung-Tsun
openaire +1 more source
Inverse nodal problems: finding the potential from nodal lines
Memoirs of the American Mathematical Society, 1996Ole H. Hald, Joyce R. McLaughlin
openaire +1 more source
Navigating financial toxicity in patients with cancer: A multidisciplinary management approach
Ca-A Cancer Journal for Clinicians, 2022Grace Li Smith +2 more
exaly