The Picone identity: a device to get optimal uniqueness results and global dynamics in Population Dynamics
| dc.contributor.author | Fernández Rincón, Sergio | |
| dc.contributor.author | López Gómez, Julián | |
| dc.date.accessioned | 2024-01-09T09:24:14Z | |
| dc.date.available | 2024-01-09T09:24:14Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract | This paper infers from a generalized Picone identity the uniqueness of the stable positive solution for a class of semilinear equations of superlinear indefinite type, as well as the uniqueness and global attractivity of the coexistence state in two generalized diffusive prototypes of the symbiotic and competing species models of Lotka–Volterra. The optimality of these uniqueness theorems reveals the tremendous strength of the Picone identity. | en |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.faculty | Instituto de Matemática Interdisciplinar (IMI) | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Ministerio de Ciencia, Innovación y Universidades (España) | |
| dc.description.sponsorship | Ministerio de Educación, Formación Profesional y Deportes (España) | |
| dc.description.status | pub | |
| dc.identifier.citation | S. Fernández-Rincón, J. López-Gómez, The Picone identity: A device to get optimal uniqueness results and global dynamics in Population Dynamics, Nonlinear Analysis: Real World Applications 60 (2021) 103285. https://doi.org/10.1016/j.nonrwa.2020.103285. | |
| dc.identifier.doi | 10.1016/j.nonrwa.2020.103285 | |
| dc.identifier.issn | 1468-1218 | |
| dc.identifier.officialurl | https://doi.org/10.1016/j.nonrwa.2020.103285 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/91937 | |
| dc.journal.title | Nonlinear Analysis: Real World Applications | |
| dc.language.iso | eng | |
| dc.page.initial | 103285 | |
| dc.publisher | Elsevier | |
| dc.relation.projectID | PGC2018-097104- B-100 | |
| dc.relation.projectID | FPU15/04755 | |
| dc.rights.accessRights | restricted access | |
| dc.subject.keyword | Uniqueness for coexistence states | |
| dc.subject.keyword | Picone identity | |
| dc.subject.keyword | Superlinear indefinite problems | |
| dc.subject.keyword | Diffusive symbiotic models | |
| dc.subject.keyword | Diffusive competitive models | |
| dc.subject.keyword | Global dynamics | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1206.12 Ecuaciones Diferenciales Ordinarias | |
| dc.title | The Picone identity: a device to get optimal uniqueness results and global dynamics in Population Dynamics | en |
| dc.type | journal article | |
| dc.type.hasVersion | VoR | |
| dc.volume.number | 60 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | a3df7523-0246-4656-86f6-d48f7723cac5 | |
| relation.isAuthorOfPublication | 27effbc8-f76e-4c18-8514-82cf8fe8ccbf | |
| relation.isAuthorOfPublication.latestForDiscovery | a3df7523-0246-4656-86f6-d48f7723cac5 |
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