EIGENVALUES OF STURM-LIOUVILLE OPERATORS AND PRIME NUMBERS


AMİROV R. , ADALAR İ.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2017
  • Title of Journal : ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Abstract

We show that there is no function q(x) is an element of L-2(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 [71.