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Title: Asymptotics of families of solutions of nonlinear difference equations
Authors: van den Berg, Imme
Keywords: Difference equations
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.
Type: article
Appears in Collections:MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica

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