Spectral expansion for impulsive dynamic Sturm–Liouville problems on the whole line

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

Filomat, vol.38, no.9, pp.2983-2994, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 9
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2409983a
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2983-2994
  • Keywords: differential equations with impulses, dynamic equations on time scales, Eigenfunction expansions, Sturm–Liouville theory
  • Azerbaijan State University of Economics (UNEC) Affiliated: No

Abstract

In this paper, an impulsive dynamic Sturm–Liouville problem is studied on the interval (−∞, ∞). A spectral matrix-valued function for this problem is obtained. Parseval equality and an eigenfunction expansion are given.