Study of a logistic equation with local and non-local reaction terms
dc.contributor.author | Delgado, Manuel | |
dc.contributor.author | Figueiredo, Giovany M. | |
dc.contributor.author | Pimenta, Marcos T. O. [UNESP] | |
dc.contributor.author | Suárez, Antonio | |
dc.contributor.institution | Univ. de Sevilla | |
dc.contributor.institution | Universidade Federal do Pará (UFPA) | |
dc.contributor.institution | Universidade Estadual Paulista (Unesp) | |
dc.date.accessioned | 2018-12-11T17:04:19Z | |
dc.date.available | 2018-12-11T17:04:19Z | |
dc.date.issued | 2016-06-01 | |
dc.description.abstract | We examine a logistic equation with local and non-local reaction terms both for time dependent and steady-state problems. Mainly, we use bifurcation and monotonicity methods to prove the existence of positive solutions for the steady-state equation and sub-supersolution method for the long time behavior for the time dependent problem. The results depend strongly on the size and sign of the parameters on the local and non-local terms. | en |
dc.description.affiliation | Dpto. de Ecuaciones Diferenciales y Análisis Numérico Fac. de Matemáticas Univ. de Sevilla, C. Tarfia s/n | |
dc.description.affiliation | Universidade Federal do Pará Faculdade de Matemática | |
dc.description.affiliation | Departamento de Matemática e Computação Faculdade de Ciências e Tecnologia – Unesp | |
dc.description.affiliationUnesp | Departamento de Matemática e Computação Faculdade de Ciências e Tecnologia – Unesp | |
dc.description.sponsorship | Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) | |
dc.description.sponsorship | Ministerio de Economía y Competitividad | |
dc.description.sponsorshipId | FAPESP: 2012/20160-0 | |
dc.description.sponsorshipId | FAPESP: 2014/16136-1 | |
dc.description.sponsorshipId | FAPESP: CNPQ 442520/2014-0 | |
dc.format.extent | 693-713 | |
dc.identifier | http://dx.doi.org/10.12775/TMNA.2016.026 | |
dc.identifier.citation | Topological Methods in Nonlinear Analysis, v. 47, n. 2, p. 693-713, 2016. | |
dc.identifier.doi | 10.12775/TMNA.2016.026 | |
dc.identifier.file | 2-s2.0-84978777030.pdf | |
dc.identifier.issn | 1230-3429 | |
dc.identifier.scopus | 2-s2.0-84978777030 | |
dc.identifier.uri | http://hdl.handle.net/11449/173248 | |
dc.language.iso | eng | |
dc.relation.ispartof | Topological Methods in Nonlinear Analysis | |
dc.relation.ispartofsjr | 0,710 | |
dc.rights.accessRights | Acesso aberto | |
dc.source | Scopus | |
dc.subject | Bifurcation methods | |
dc.subject | Local and non-local terms | |
dc.subject | Logistic equation | |
dc.title | Study of a logistic equation with local and non-local reaction terms | en |
dc.type | Artigo | |
unesp.department | Matemática e Computação - FCT | pt |
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