Please use this identifier to cite or link to this item: https://hdl.handle.net/1959.11/12037
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dc.contributor.authorDu, Yihongen
dc.contributor.authorPeng, Ruien
dc.date.accessioned2013-02-18T11:22:00Z
dc.date.issued2012en
dc.identifier.citationTransactions of the American Mathematical Society, 364(11), p. 6039-6070en
dc.identifier.issn1088-6850en
dc.identifier.issn0002-9947en
dc.identifier.urihttps://hdl.handle.net/1959.11/12037en
dc.description.abstractIn this article, we study the degenerate periodic logistic equation with homogeneous Neumann boundary conditions... Our analysis leads to a new eigenvalue problem for periodic-parabolic operators over a varying cylinder and certain parabolic boundary blow-up problems not known before. The investigation in this paper shows that the temporal degeneracy causes a fundamental change of the dynamical behavior of the equation only when spatial degeneracy also exists; but in sharp contrast, whether or not temporal degeneracy appears in the equation, the spatial degeneracy always induces fundamental changes of the behavior of the equation, though such changes differ significantly according to whether or not there is temporal degeneracy.en
dc.languageenen
dc.publisherAmerican Mathematical Societyen
dc.relation.ispartofTransactions of the American Mathematical Societyen
dc.titleThe periodic logistic equation with spatial and temporal degeneraciesen
dc.typeJournal Articleen
dc.identifier.doi10.1090/S0002-9947-2012-05590-5en
dc.subject.keywordsPartial Differential Equationsen
local.contributor.firstnameYihongen
local.contributor.firstnameRuien
local.subject.for2008010110 Partial Differential Equationsen
local.subject.seo2008970101 Expanding Knowledge in the Mathematical Sciencesen
local.profile.schoolSchool of Science and Technologyen
local.profile.schoolMathsen
local.profile.emailydu@une.edu.auen
local.output.categoryC1en
local.record.placeauen
local.record.institutionUniversity of New Englanden
local.identifier.epublicationsrecordune-20130207-144737en
local.publisher.placeUnited States of Americaen
local.format.startpage6039en
local.format.endpage6070en
local.peerreviewedYesen
local.identifier.volume364en
local.identifier.issue11en
local.contributor.lastnameDuen
local.contributor.lastnamePengen
dc.identifier.staffune-id:yduen
dc.identifier.staffune-id:rpeng2en
local.profile.roleauthoren
local.profile.roleauthoren
local.identifier.unepublicationidune:12240en
dc.identifier.academiclevelAcademicen
local.title.maintitleThe periodic logistic equation with spatial and temporal degeneraciesen
local.output.categorydescriptionC1 Refereed Article in a Scholarly Journalen
local.relation.grantdescriptionARC/DP1093638en
local.description.statisticsepubsVisitors: 84<br />Views: 80<br />Downloads: 0en
local.search.authorDu, Yihongen
local.search.authorPeng, Ruien
Appears in Collections:Journal Article
School of Science and Technology
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