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Exact treatment of operator difference equations with nonconstant noncommutative coefficients

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 نشر من قبل Anastasia Jivulescu
 تاريخ النشر 2012
  مجال البحث فيزياء
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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 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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