PRINCIPAL FUNCTIONS OF IMPULSIVE DIFFERENCE OPERATORS ON SEMI AXIS

YARDIMCI, ŞEYHMUS; ERDAL, İBRAHİM

doi:10.31801/cfsuasmas.481747

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)

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
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.