Asymptotics of families of solutions of nonlinear difference equations

Detalhes bibliográficos
Autor(a) principal: van den Berg, Imme
Data de Publicação: 2008
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/1393
Resumo: 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.
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spelling Asymptotics of families of solutions of nonlinear difference equationsDifference equationsasymptoticsstabilityriverschange of scalenonstandard analysisOne 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.2008-12-30T16:25:24Z2008-12-302008-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article15549 bytesapplication/pdfhttp://hdl.handle.net/10174/1393http://hdl.handle.net/10174/1393engp. 153-185Logic and Analysis1-2livreivdb@uevora.pt334van den Berg, Immeinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T18:37:29Zoai:dspace.uevora.pt:10174/1393Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:57:32.657461Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Asymptotics of families of solutions of nonlinear difference equations
title Asymptotics of families of solutions of nonlinear difference equations
spellingShingle Asymptotics of families of solutions of nonlinear difference equations
van den Berg, Imme
Difference equations
asymptotics
stability
rivers
change of scale
nonstandard analysis
title_short Asymptotics of families of solutions of nonlinear difference equations
title_full Asymptotics of families of solutions of nonlinear difference equations
title_fullStr Asymptotics of families of solutions of nonlinear difference equations
title_full_unstemmed Asymptotics of families of solutions of nonlinear difference equations
title_sort Asymptotics of families of solutions of nonlinear difference equations
author van den Berg, Imme
author_facet van den Berg, Imme
author_role author
dc.contributor.author.fl_str_mv van den Berg, Imme
dc.subject.por.fl_str_mv Difference equations
asymptotics
stability
rivers
change of scale
nonstandard analysis
topic Difference equations
asymptotics
stability
rivers
change of scale
nonstandard analysis
description 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.
publishDate 2008
dc.date.none.fl_str_mv 2008-12-30T16:25:24Z
2008-12-30
2008-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10174/1393
http://hdl.handle.net/10174/1393
url http://hdl.handle.net/10174/1393
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv p. 153-185
Logic and Analysis
1-2
livre
ivdb@uevora.pt
334
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eu_rights_str_mv openAccess
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