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arXiv · 1802.04121

Comparison Criteria for Discrete Fractional Sturm-Liouville Equations

Ramazan Ozarslan·Erdal Bas
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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.

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Ramazan Ozarslan, Erdal Bas. 2018-02-08. Comparison Criteria for Discrete Fractional Sturm-Liouville Equations. https://arxiv.org/abs/1802.04121

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