- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 68 Issue: 2
- Principal functions of impulsive difference operators on semi axis
Principal functions of impulsive difference operators on semi axis
Authors : Ibrahim Erdal, Şeyhmus Yardimci
Pages : 1797-1810
Doi:10.31801/cfsuasmas.481747
View : 9 | Download : 4
Publication Date : 2019-08-01
Article Type : Research
Abstract :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.Keywords : impulsive condition, difference operator, spectrum, principal functions