Reduction principle in the theory of stability of difference equations

Andrejs Reinfelds; Klara Janglajew

doi:10.3934/proc.2007.2007.864

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2007, Volume 2007: 864-874. Doi: 10.3934/proc.2007.2007.864 open access

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Reduction principle in the theory of stability of difference equations

Andrejs Reinfelds^1, and
Klara Janglajew^2,

1.
Institute of Mathematics and Computer Science, University of Latvia, Raiņa bulvăris 29, Rīga, LV-1459
2.
Institute of Mathematics, University of Białystok, Akademicka 2, 15-267 Białystok

Received: September 2006

Revised: February 2007

Published: August 2007

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Abstract

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.

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Mathematics Subject Classification: Primary: 39A11, 37B55; Secondary: 37B25, 39A12.

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