Spectrum and symmetries of the impulsive difference equations

Year 2021, Volume: 70 Issue: 1, 38 - 51, 30.06.2021

Elgiz Bayram , Şerifenur Cebesoy , Seyda Solmaz

https://doi.org/10.31801/cfsuasmas.669708

Abstract

This paper deals with the spectral analysis and symmetries of the second
order difference equations with impulse. We determine a transfer matrix and
this allows us to investigate the locations of eigenvalues and spectral
singularites of the difference operator generated in $\ell_{2}(\Z)$.

Keywords

Impulsive equations, eigenvalues, spectral singularities, symmetries

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