PRINCIPAL FUNCTIONS OF IMPULSIVE DIFFERENCE OPERATORS ON SEMI AXIS
COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.68, sa.2, ss.1797-1810, 2019 (ESCI, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 68 Sayı: 2
- Basım Tarihi: 2019
- Doi Numarası: 10.31801/cfsuasmas.481747
- Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.1797-1810
- Anahtar Kelimeler: Impulsive condition, difference operator, spectrum, principal functions, SPECTRAL-ANALYSIS, 2ND-ORDER, EQUATIONS
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
In this paper, we investigate the continuous spectrum and resolvent operator of a second-order difference operator with an impulsive condition. Then, under certain conditions, we prove finiteness of eigenvalues, spectral singularities. At last, we present principal functions of corresponding impulsive operator.