EIGENVALUES OF STURM-LIOUVILLE OPERATORS AND PRIME NUMBERS

Amirov R., Adalar İ.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2017
  • Dergi Adı: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sivas Cumhuriyet Üniversitesi Adresli: Evet

Özet

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.