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arXiv · 1206.5899

Exact treatment of operator difference equations with nonconstant noncommutative coefficients

M. A. Jivulescu·A. Messina
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Abstract

In this paper we study in a Hilbert space a homogeneous linear second order difference equation with nonconstant and noncommuting operator coefficients. We build its exact resolutive formula consisting in the explicit non-iterative expression of a generic term of the unknown sequence of vectors of the Hilbert space. Some non-trivial applications are reported with the aim of showing the usefulness and the broad applicability of our result.

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M. A. Jivulescu, A. Messina. 2012-12-11. Exact treatment of operator difference equations with nonconstant noncommutative coefficients. https://arxiv.org/abs/1206.5899

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