Principal functions of impulsive difference operators on semi axis
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Date
2019-08-01
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Ankara Üniversitesi Fen Fakültesi
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.
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Keywords
Impulsive condition, Difference operator, Spectrum