Dichotomy and trichotomy of difference equations. (English) Zbl 0914.39013

Elaydi, S.; Janglajew, K.

J. Difference Equ. Appl. 3, No. 5-6, 417-448 (1998).

The authors extend the notions of dichotomy and trichotomy to nonlinear ordinary difference equations. This is accomplished by using two different approaches. The first is independent of the nature of the difference equation and uses the so-called tracking notion, the second is a discrete analogue of dichotomy and trichotomy in variation.

Reviewer: S.Balint (Timişoara)

MSC:

39A12	Discrete version of topics in analysis
39A10	Additive difference equations

Keywords:

dichotomy; trichotomy; nonlinear ordinary difference equations

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