A spectral theory for discontinuous Sturm-Liouville problems on the whole line

  • Hüseyin Tuna Mehmet Akif Ersoy University, Turkey
  • Bilender P. Allahverdiev Mehmet Akif Ersoy University, Turkey

Abstract

In this study, we consider the singular discontinuous Sturm-Liouville problem on the whole line with transmission conditions. For this problem the existence of a spectral matrix-valued function is proved. A Parseval equality and an expansion formula are given for such problem.

Published
2019-11-22
Section
Articoli