On Expansion in Eigenfunction for Dirac Systems on the Unbounded Time Scales

PAŞAOĞLU, Bilender; TUNA, HÜSEYİN

doi:10.1007/s12591-019-00488-6

On Expansion in Eigenfunction for Dirac Systems on the Unbounded Time Scales

PAŞAOĞLU B., TUNA H.

Differential Equations and Dynamical Systems, cilt.30, ss.271-285, 2022 (ESCI, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 30
Basım Tarihi: 2022
Doi Numarası: 10.1007/s12591-019-00488-6
Dergi Adı: Differential Equations and Dynamical Systems
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
Sayfa Sayıları: ss.271-285
Anahtar Kelimeler: Time scales, Dirac operator, Singular point, Spectral function, Parseval equality, Eigenfunction expansion, BOUNDARY-VALUE-PROBLEMS
Süleyman Demirel Üniversitesi Adresli: Evet

Özet

In this work, we consider one dimensional Dirac operators on unbounded time scales. We construct a spectral function of such an operator. Using this function, we establish a Parseval equality and an expansion formula in eigenfunctions for the Dirac operator on unbounded time scales.