منابع مشابه
A Vectorial Inverse Nodal Problem
Consider the vectorial Sturm-Liouville problem: −y′′(x) + P (x)y(x) = λIdy(x) Ay(0) + Idy ′(0) = 0 By(1) + Idy ′(1) = 0 where P (x) = [pij(x)]i,j=1 is a continuous symmetric matrix-valued function defined on [0, 1], and A and B are d×d real symmetric matrices. An eigenfunction y(x) of the above problem is said to be of type (CZ) if any isolated zero of its component is a nodal point of y(x...
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In this study, inverse nodal problem is solved for the p-Laplacian operator with two potential functions. We present some asymptotic formulas which have been proved in [17,18] for the eigenvalues, nodal points and nodal lengths, provided that a potential function is unknown. Then, using the nodal points we reconstruct the potential function and its derivatives. We also introduce a solution of i...
متن کاملSome remarks on inverse Wiener index problem
The sum of distances between all pairs of vertices W (G) in a connected graph G as a graph invariant was first introduced by Wiener [9] in 1947. He observed a correlation between boiling points of paraffins and this invariant, which has later become known as Wiener index of a graph. Today, the Wiener index is one of the most widely used descriptors in chemical graph theory. Due to its strong co...
متن کاملInverse nodal problem and Ambarzumyan problem for the p-Laplacian
We study the issues of reconstruction and stability issues 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. AMS Subject Classification (2000) : 34A55, 34B24. 1 2 1...
متن کاملSolution of a discontinuous inverse nodal problem on a finite interval
In this paper, the inverse problem of recovering the potential function, on a general finite interval, of a singular Sturm–Liouville problem with a new spectral parameter, called the nodal point, is studied. In addition, we give an asymptotic formula for nodal points and the density of the nodal set. c © 2006 Elsevier Ltd. All rights reserved.
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2000
ISSN: 0022-247X
DOI: 10.1006/jmaa.2000.6878