Ukrainian Mathematical Journal, vol.75, no.6, pp.827-841, 2023 (SCI-Expanded)
We consider an impulsive Dirac system on Sturmian time scales and present an existence theorem for this system. Maximal, minimal, and self-adjoint operators generated by the impulsive dynamic Dirac system are constructed. We also construct the Green function for this problem. Finally, an eigenfunction expansion is obtained.