6533b821fe1ef96bd127bac8

RESEARCH PRODUCT

Exact treatment of operator difference equations with nonconstant and noncommutative coefficients

Maria Anastasia JivulescuAntonino Messina

subject

Cauchy problemSequenceDifferential equationGeneral MathematicsOperator (physics)Mathematical analysisGeneral EngineeringExpression (computer science)Term (logic)Noncommutative geometrySettore FIS/03 - Fisica Della MateriaCauchy problem Noncommuting operators Operator difference equationsMathematicsVector space

description

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.

yearjournalcountryeditionlanguage
2013-01-16
10.1007/s10665-012-9602-9http://hdl.handle.net/10447/75352