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General Solution of a Second-Order Nonhomogenous Linear Difference Equation with Noncommutative Coefficients

  • Autori: Jivulescu, M.; Napoli, A.; Messina, A.
  • Anno di pubblicazione: 2010
  • Tipologia: Articolo in rivista (Articolo in rivista)
  • Parole Chiave: Difference equation, noncommutativity, companion matrix, generating functions
  • OA Link:


The detailed construction of the general solution of a second-order nonhomogenous linear operator-difference equation is presented. The wide applicability of such an equation as well as the usefulness of its resolutive formula is shown by studying some applications belonging to different mathematical contexts.