Positive solutions of a logistic equation on unbounded intervals

Positive solutions of a logistic equation on unbounded intervals

In this paper, we study the existence of positive solutions of a one-parameter family of logistic equations on R+ or on R. These equations are stationary versions of the Fisher equations and the KPP equations. We also study the blow up region of a sequence of the solutions when the parameter approac...

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Main Authors: Ma, Li, Xu, Xingwang
Format: Others
Language:English
Published: Universität Potsdam 2001
Subjects:
Mathematics
Online Access:http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26015
http://opus.kobv.de/ubp/volltexte/2008/2601/
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spelling ndltd-Potsdam-oai-kobv.de-opus-ubp-26012013-01-08T00:54:59Z Positive solutions of a logistic equation on unbounded intervals Ma, Li Xu, Xingwang Mathematics In this paper, we study the existence of positive solutions of a one-parameter family of logistic equations on R+ or on R. These equations are stationary versions of the Fisher equations and the KPP equations. We also study the blow up region of a sequence of the solutions when the parameter approachs a critical value and the nonexistence of positive solutions beyond the critical value. We use the direct method and the sub and super solution method. Universität Potsdam Mathematisch-Naturwissenschaftliche Fakultät. Institut für Mathematik 2001 Preprint application/pdf urn:nbn:de:kobv:517-opus-26015 http://opus.kobv.de/ubp/volltexte/2008/2601/ eng http://opus.kobv.de/ubp/doku/urheberrecht.php
collection NDLTD
language English
format Others
sources NDLTD
topic Mathematics
spellingShingle Mathematics
Ma, Li
Xu, Xingwang
Positive solutions of a logistic equation on unbounded intervals
description In this paper, we study the existence of positive solutions of a one-parameter family of logistic equations on R+ or on R. These equations are stationary versions of the Fisher equations and the KPP equations. We also study the blow up region of a sequence of the solutions when the parameter approachs a critical value and the nonexistence of positive solutions beyond the critical value. We use the direct method and the sub and super solution method.
author Ma, Li
Xu, Xingwang
author_facet Ma, Li
Xu, Xingwang
author_sort Ma, Li
title Positive solutions of a logistic equation on unbounded intervals
title_short Positive solutions of a logistic equation on unbounded intervals
title_full Positive solutions of a logistic equation on unbounded intervals
title_fullStr Positive solutions of a logistic equation on unbounded intervals
title_full_unstemmed Positive solutions of a logistic equation on unbounded intervals
title_sort positive solutions of a logistic equation on unbounded intervals
publisher Universität Potsdam
publishDate 2001
url http://nbn-resolving.de/urn:nbn:de:kobv:517-opus-26015
http://opus.kobv.de/ubp/volltexte/2008/2601/
work_keys_str_mv AT mali positivesolutionsofalogisticequationonunboundedintervals
AT xuxingwang positivesolutionsofalogisticequationonunboundedintervals
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