Logic and Analysis 1 (2):153-185 (2008)
| Abstract |
One method to determine the asymptotics of particular solutions of a difference equation is by solving an associated asymptotic functional equation. Here we study the behaviour of the solutions in an asymptotic neighbourhood of such individual solutions. We identify several types of attraction and repulsion, which range from almost orthogonality to almost parallelness. Necessary and sufficient conditions for these types of behaviour are given
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| Keywords | Difference equations asymptotics stability rivers nonstandard analysis change of scale |
| Categories | (categorize this paper) |
| DOI | 10.1007/s11813-008-0006-0 |
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References found in this work BETA
Internal Set Theory: A New Approach to Nonstandard Analysis.Edward Nelson - 1977 - Journal of Symbolic Logic 48 (4):1203-1204.
On the Relation Between Elementary Partial Difference Equations and Partial Differential Equations.I. P. van den Berg - 1998 - Annals of Pure and Applied Logic 92 (3):235-265.
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