Eigenvalues of Sturm-Liouville operators and prime numbers

Date

2017-02-20

Authors

Amirov, Rauf
Adalar, Ibrahim

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

Abstract

We show that there is no function q(x) ∈ L2(0, 1) which is the potential of a Sturm-Liouville problem with Dirichlet boundary condition whose spectrum is a set depending nonlinearly on the set of prime numbers as suggested by Mingarelli [7].

Description

Keywords

Sturm-Liouville, Spectrum, Prime numbers

Citation

Amirov, R., & Adalar, I. (2017). Eigenvalues of Sturm-Liouville operators and prime numbers. <i>Electronic Journal of Differential Equations, 2017</i>(50), pp. 1-3.

Rights

Attribution 4.0 International

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