Inverse Nodal Problem for P-Laplacian energy-dependent Sturm-Liouville
Spectral Theory
2013-02-15 v1
Abstract
In this study, inverse nodal problem is solved for p-Laplacian Schr\"odinger equation with energy-dependent potential with the Drichlet conditions. Asymptotic estimates of eigenvalues, nodal points and nodal lengths are given by using Pr\"ufer substitution. Especially, an explicit formula for potential function is given by using nodal lengths. Results are more general than classical p- Laplacian Sturm Liouville problem. For the proofs, it is used the methods given in the references <cite>lav3</cite>, <cite>Wang</cite>.
Keywords
Cite
@article{arxiv.1302.3323,
title = {Inverse Nodal Problem for P-Laplacian energy-dependent Sturm-Liouville},
author = {Hikmet Kemaloglu},
journal= {arXiv preprint arXiv:1302.3323},
year = {2013}
}
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9 pages