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
|
| Keywords | Difference equations asymptotics stability rivers nonstandard analysis change of scale |
| Categories | (categorize this paper) |
| DOI | 10.1007/s11813-008-0006-0 |
| Options |
Edit this record
Mark as duplicate
Export citation
Request removal from index
|
Download options
References found in this work BETA
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.
Internal Set Theory: A New Approach to Nonstandard Analysis.Edward Nelson - 1977 - Journal of Symbolic Logic 48 (4):1203-1204.
Citations of this work BETA
No citations found.
Similar books and articles
Relation Betweenrelativistic Quantum Mechanics an Classical Em Field Theory.J. F. Geurdes - 1995 - Physical Review E 51 (5):5151-5154.
The Uses of Genetic Programming in Social Simulation: A Review of Five Books. [REVIEW]Bruce Edmonds - unknown
Asymptotics, Reduction and Emergence.C. A. Hooker - 2004 - British Journal for the Philosophy of Science 55 (3):435-479.
On the Existence of a New Family of Diophantine Equations for Ω.Toby Ord - 2003 - Fundamenta Informaticae 56:273-284.
Stability Properties of Proliferatively Coupled Cell Replication Models.A. Lasotal, K. Loskot & M. C. Mackey - 1991 - Acta Biotheoretica 39 (1):1-14.
Optimization of Solutions for the One Plant Protection Problem.E. Kelman, R. S. Levy & Y. Levy - 2001 - Acta Biotheoretica 49 (1):61-71.
Generalizing the Lottery Paradox.Igor Douven & Timothy Williamson - 2006 - British Journal for the Philosophy of Science 57 (4):755-779.
Relation Between Relativisitic Quantum Mechanics And.Han Geurdes - 1995 - Phys Rev E 51 (5):5151-5154.
Square-Root Models for the Volterra Equations and the Explicit Solution of These Models.M. Arrigoni & A. Steiner - 1983 - Acta Biotheoretica 32 (2):123-142.
Enzyme Organization and Stability of Metabolic Pathways: A Comparison of Various Approaches.Robert Costalat - 1996 - Acta Biotheoretica 44 (3-4):235-247.
Analytics
Added to PP index
2010-08-24
Total views
23 ( #423,304 of 2,326,043 )
Recent downloads (6 months)
3 ( #286,727 of 2,326,043 )
2010-08-24
Total views
23 ( #423,304 of 2,326,043 )
Recent downloads (6 months)
3 ( #286,727 of 2,326,043 )
How can I increase my downloads?
Downloads
