Principal functions of impulsive difference operators on semi axis

Authors : İbrahim ERDAL, Şeyhmus YARDIMCI

Pages : 1797-1810

Doi:10.31801/cfsuasmas.481747

View : 18 | Download : 11

Publication Date : 2019-08-01

Article Type : Research Paper

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