EIGENVALUES OF STURM-LIOUVILLE OPERATORS AND PRIME NUMBERS


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Amirov R., Adalar İ.

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

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.