Comparison Criteria for Discrete Fractional Sturm-Liouville Equations
Classical Analysis and ODEs
2018-02-13 v1 Spectral Theory
Abstract
In this study, we give the Sturm comparison theorems for discrete fractional Sturm-Liouville (DFSL) equations within Riemann-Liouville and Gr\"unwald-Letnikov sense. The emergence of Sturm-Liouville equations began as one dimensional Schr\"odinger equation in quantum mechanics and one of the most important results is Sturm comparison theorems [27]. These theorems give information about the properties of zeros of two equations having different potentials.
Keywords
Cite
@article{arxiv.1802.04121,
title = {Comparison Criteria for Discrete Fractional Sturm-Liouville Equations},
author = {Ramazan Ozarslan and Erdal Bas},
journal= {arXiv preprint arXiv:1802.04121},
year = {2018}
}