Dichotomy and trichotomy of difference equations |
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Authors: | S. Elaydi K. Janglajew |
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Affiliation: | 1. Department of Mathematics , Trinity University , San Antonio, TX 78212, USA selaydi@trinity.edu;3. Institute of Mathematics , Warsaw University , Akademica 2, Bialystok, 15-267, Poland |
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Abstract: | Dedicated to Professor Gerry Ladas on his sixtieth birthday in acknowledgement of his leading role of difference equations. We extend the notions of dichotomy and trichotomy to nonlinear ordinary difference equations. This is accomplished by using two completely different approaches. In the first approach we use a notion, independent of the nature of our difference equation, called tracking. In the second approach we introduce a discrete analogue of dichotomy and trichotomy in variation. |
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Keywords: | Dichotomy Trichototmy Tracking Hyperbolic Holdable point Control |
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