Please use this identifier to cite or link to this item:
http://hdl.handle.net/10174/1393
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| Title: | Asymptotics of families of solutions of nonlinear difference equations |
| Authors: | van den Berg, Imme |
| Keywords: | Difference equations
asymptotics
stability
rivers
change of scale
nonstandard analysis |
| Issue Date: | 2008 |
| Abstract: | One method to determine the asymptotics of individual 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. |
| URI: | http://hdl.handle.net/10174/1393 |
| Type: | article |
| Appears in Collections: | MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
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MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica /
