Asymptotic approximations for second-order linear difference equations in Banach algebras, I |
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| Authors: | Tania Soldà Marco Vianello |
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| Institution: | a Dipartimento di Matematica Pura e Applicata, Università di Padova, 7 Via Belzoni, 35131 Padua, Italy
b Dipartimento di Matematica, Università “Roma Tre”, 1 Largo S. Leonardo Murialdo, 00146 Rome, Italy |
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| Abstract: | An asymptotic approximation theory is developed for some classes of linear second-order difference equations in Banach algebras, subject to “finite moments perturbations.” The special case of linear matrix difference equations (or, equivalently, of second-order systems) is included. Rigorous and explicitly computable bounds for the error terms are obtained. |
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| Keywords: | Matrix difference equations Finite moments asymptotics Banach algebras |
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