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https://hdl.handle.net/1959.11/3464
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Du, Yihong | en |
dc.contributor.author | Dong, Wei | en |
dc.date.accessioned | 2009-11-30T16:15:00Z | - |
dc.date.issued | 2003 | - |
dc.identifier.citation | Bulletin of the Australian Mathematical Society, 67(3), p. 413-427 | en |
dc.identifier.issn | 0004-9727 | en |
dc.identifier.uri | https://hdl.handle.net/1959.11/3464 | - |
dc.description.abstract | We consider the logistic equation -∆u=a(x)u-b(x)u^p on all of R^N with possibly unbounded coefficients near infinity. We show that under suitable growth conditions of the coefficients, the behaviour of the positive solutions of the logistic equation can be largely determined. We also show that certain linear eigenvalue problems on all of R^N have principal eigenfunctions that become unbounded near infinity at an exponential rate. Using these results, we finally show that the logistic equation has unique positive solution under suitable growth restrictions for its coefficients. | en |
dc.language | en | en |
dc.publisher | Cambridge University Press | en |
dc.relation.ispartof | Bulletin of the Australian Mathematical Society | en |
dc.title | Unbounded Principal Eigenfunctions and the Logistic Equation on R^N | en |
dc.type | Journal Article | en |
dc.identifier.doi | 10.1017/S0004972700037229 | en |
dc.subject.keywords | Ordinary Differential Equations, Difference Equations and Dynamical Systems | en |
local.contributor.firstname | Yihong | en |
local.contributor.firstname | Wei | en |
local.subject.for2008 | 010109 Ordinary Differential Equations, Difference Equations and Dynamical Systems | en |
local.subject.seo2008 | 970101 Expanding Knowledge in the Mathematical Sciences | en |
local.profile.school | School of Science and Technology | en |
local.profile.email | ydu@une.edu.au | en |
local.output.category | C1 | en |
local.record.place | au | en |
local.record.institution | University of New England | en |
local.identifier.epublicationsrecord | pes:749 | en |
local.publisher.place | Australia | en |
local.format.startpage | 413 | en |
local.format.endpage | 427 | en |
local.identifier.scopusid | 1342279231 | en |
local.peerreviewed | Yes | en |
local.identifier.volume | 67 | en |
local.identifier.issue | 3 | en |
local.contributor.lastname | Du | en |
local.contributor.lastname | Dong | en |
dc.identifier.staff | une-id:ydu | en |
local.profile.orcid | 0000-0002-1235-0636 | en |
local.profile.role | author | en |
local.profile.role | author | en |
local.identifier.unepublicationid | une:3552 | en |
dc.identifier.academiclevel | Academic | en |
local.title.maintitle | Unbounded Principal Eigenfunctions and the Logistic Equation on R^N | en |
local.output.categorydescription | C1 Refereed Article in a Scholarly Journal | en |
local.search.author | Du, Yihong | en |
local.search.author | Dong, Wei | en |
local.uneassociation | Unknown | en |
local.year.published | 2003 | en |
Appears in Collections: | Journal Article |
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