A Representation of the Resolvent Operator of Singular Hahn-Sturm-Liouville Problem

Allahverdiev B. P. , TUNA H.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.41, ss.413-431, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 41 Konu: 4
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/01630563.2019.1658604
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Sayfa Sayıları: ss.413-431

Özet

In this article, we construct the resolvent operator of regular Hahn-Sturm-Liouville problem. Later we derive some properties of the resolvent operator. Finally, we obtain integral representation for the resolvent operator of singular Hahn-Sturm-Liouville problem in terms of the spectral function.