Erdal, İbrahimYardımcı, Şeyhmus2021-11-052021-11-052019-08-01https://doi.org/10.31801/cfsuasmas.481747http://hdl.handle.net/20.500.12575/75923In 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.enImpulsive conditionDifference operatorSpectrumPrincipal functions of impulsive difference operators on semi axisArticle682179718102618-6470