Asymptotics of families of solutions of nonlinear difference equations

dc.contributor.authorvan den Berg, Imme
dc.date.accessioned2008-12-30T16:25:24Z
dc.date.available2008-12-30T16:25:24Z
dc.date.issued2008
dc.description.abstractOne 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.en
dc.format.extent15549 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.accesstypelivreen
dc.identifier.authoremailivdb@uevora.pt
dc.identifier.paginap. 153-185en
dc.identifier.revistaLogic and Analysisen
dc.identifier.scientificarea334en
dc.identifier.urihttp://hdl.handle.net/10174/1393
dc.identifier.volumerev1-2en
dc.language.isoeng
dc.rightsopenAccessen
dc.subjectDifference equationsen
dc.subjectasymptoticsen
dc.subjectstabilityen
dc.subjectriversen
dc.subjectchange of scaleen
dc.subjectnonstandard analysisen
dc.titleAsymptotics of families of solutions of nonlinear difference equationsen
dc.typearticleen

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