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Exact treatment of operator difference equations with nonconstant and noncommutative coefficients

  • Autori: Jivulescu, M.; Messina, A.
  • Anno di pubblicazione: 2013
  • Tipologia: Articolo in rivista (Articolo in rivista)


We study a homogeneous linear second-order difference equation with nonconstant and noncommuting operator coefficients in a vector space. We build its exact resolutive formula consisting of the explicit noniterative expression of a generic term of the unknown sequence of vectors. Some nontrivial applications are reported in order to show the usefulness and the broad applicability of the result