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Ill posedness of a neural field equation with Heaviside firing rate function
dc.rights.license | Atribución-NoComercial 4.0 Internacional |
dc.contributor.author | Cordero Ceballos, Juan Carlos |
dc.contributor.author | Pinilla Estupiñan, Ricardo |
dc.date.accessioned | 2019-07-02T20:46:57Z |
dc.date.available | 2019-07-02T20:46:57Z |
dc.date.issued | 2015-07-01 |
dc.identifier.issn | ISSN: 2357-6529 |
dc.identifier.uri | https://repositorio.unal.edu.co/handle/unal/61887 |
dc.description.abstract | We consider the initial value problem associated to the neural field equationut(x, t) = -u(x, t) + ZRm w(x, y) [1 + g(u(x, t) -u(y, t))] f(u(y, t)) dy, (x, t) Rm x (0, 1),where f is a Heaviside function, then we show that the problem is ill posed in Cb(Rm). The proof follows from a discontinuity argument apply to the equation's flow. |
dc.format.mimetype | application/pdf |
dc.language.iso | spa |
dc.publisher | Universidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticas |
dc.relation | https://revistas.unal.edu.co/index.php/bolma/article/view/54970 |
dc.relation.ispartof | Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas |
dc.relation.ispartof | Boletín de Matemáticas |
dc.rights | Derechos reservados - Universidad Nacional de Colombia |
dc.rights.uri | http://creativecommons.org/licenses/by-nc/4.0/ |
dc.subject.ddc | 51 Matemáticas / Mathematics |
dc.title | Ill posedness of a neural field equation with Heaviside firing rate function |
dc.type | Artículo de revista |
dc.type.driver | info:eu-repo/semantics/article |
dc.type.version | info:eu-repo/semantics/publishedVersion |
dc.identifier.eprints | http://bdigital.unal.edu.co/60699/ |
dc.relation.references | Cordero Ceballos, Juan Carlos and Pinilla Estupiñan, Ricardo (2015) Ill posedness of a neural field equation with Heaviside firing rate function. Boletín de Matemáticas, 22 (2). pp. 107-115. ISSN 2357-6529 |
dc.rights.accessrights | info:eu-repo/semantics/openAccess |
dc.subject.proposal | Neural field equation |
dc.subject.proposal | ring rate function |
dc.subject.proposal | synaptic and sensitive kernel |
dc.subject.proposal | well and ill posedness |
dc.subject.proposal | flow of the equation. |
dc.type.coar | http://purl.org/coar/resource_type/c_6501 |
dc.type.coarversion | http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.content | Text |
dc.type.redcol | http://purl.org/redcol/resource_type/ART |
oaire.accessrights | http://purl.org/coar/access_right/c_abf2 |
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