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