Principal functions of impulsive difference operators on semi axis

Year 2019, Volume: 68 Issue: 2, 1797 - 1810, 01.08.2019

İbrahim Erdal Şeyhmus Yardımcı

https://doi.org/10.31801/cfsuasmas.481747

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

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