Investigation of spectrum and scattering function of impulsive matrix difference operators
Elgiz Bairamov, Yelda Aygar, Şerifenur Cebesoy · Filomat · 2019
In this paper, we consider a second-order impulsive matrix difference operators. Using the asymptotic and analytical properties of the Jost function, we investigate eigenvalues, spectral singularities, resolvent operator, spectrum and scattering function of this problem. Finally, we study spectrum and scattering function of an unperturbated impulsive matrix difference equation.