The resolvent of impulsive dynamic singular Sturm–Liouville operators

Allahverdiev B. P., Tuna H., Isayev H. A.

Afrika Matematika, vol.35, no.3, 2024 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.1007/s13370-024-01205-5
  • Journal Name: Afrika Matematika
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Keywords: 34A37, 34N05, 47A10, Dynamic equations on time scales, Dynamic equations with impulses, Resolvent operator, Spectral function
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this study, the resolvent operator of the impulsive dynamic singular Sturm–Liouville problem is considered. The spectral function was first established. The integral representation of the resolvent operator is obtained using this function.