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تسجيل مستخدم جديدExact treatment of linear difference equations with noncommutative coefficients
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The exact solution of a Cauchy problem related to a linear second-order difference equation with constant noncommutative coefficients is reported.
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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 ge
neric 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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