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Paper detail

Exact treatment of operator difference equations with nonconstant noncommutative coefficients

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.

preprint2012arXivOpen access
M. A. JivulescuA. Messina
math-phmath.MP
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M. A. JivulescuA. Messina

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