SPECTRAL ANALYSIS OF q-FRACTIONAL STURM-LIOUVILLE OPERATORS


Allahverdiev B. P. , TUNA H.

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası:
  • Basım Tarihi: 2017
  • Dergi Adı: ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

Özet

In this article, we study q-fractional Sturm-Liouville operators. Using by the functional method, we pass to a new operator. Then, showing that this operator is a maximal operator and constructing a self-adjoint dilation of the maximal dissipative operator. We prove a theorem on the completeness of the system of eigenvectors and associated vectors of the dissipative q-fractional Sturm-Liouville operators.