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
2013-01-01
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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