Reduction principle in the theory of stability of difference equations
Andrejs Reinfelds Klara Janglajew
Conference Publications 2007, 2007(Special): 864-874 doi: 10.3934/proc.2007.2007.864
The reduction principle is generalized to the case of the nonautonomous difference equations in Banach space whose right-handed side is allowed to be noninvertible and whose linear part satisfies weaker condition than exponential dichotomy.
keywords: asymptotic phase. stability of solutions invariant manifold Reduction principle

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