SPECTRAL EXPANSION FOR IMPULSIVE DYNAMIC DIRAC SYSTEM ON THE WHOLE LINE Spektralna ekspanzija za impulsni dinamički Diracov sustav na cijelom pravcu

ALLAHVERDİYEV B., TUNA H., Isayev H. A.

Rad Hrvatske Akademije Znanosti i Umjetnosti, Matematicke Znanosti, vol.30, no.570, pp.141-157, 2026 (ESCI, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 570
  • Publication Date: 2026
  • Doi Number: 10.21857/moxpjh7kjm
  • Journal Name: Rad Hrvatske Akademije Znanosti i Umjetnosti, Matematicke Znanosti
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.141-157
  • Keywords: Dynamic equations on time scales, impulsive Dirac system, Parseval equality, spectral expansion
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

In this study, we consider an impulsive dynamic Dirac system on the whole line. A spectral function of this system is constructed. We establish a Parseval equality and expansion formula in terms of the spectral function.