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
Jivulescu, M.A., & Messina, A. (2013). Exact treatment of operator difference equations with nonconstant and noncommutative coefficients. JOURNAL OF ENGINEERING MATHEMATICS, 82(1), 149-160 [10.1007/s10665-012-9602-9].
Exact treatment of operator difference equations with nonconstant and noncommutative coefficients
JIVULESCU, Maria Anastasia;MESSINA, Antonino
2013
Abstract
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
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