Investigation of Spectrum and Scattering Function of Impulsive Matrix Difference Operators

Elgiz Bairamov, yelda aygar, Serifenur Cebesoy

Abstract


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 unperturbated impulsive matrix
difference equation.


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