Spectrum and symmetries of the impulsive difference equations

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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