Traveling Wave Solutions of Integro-differential Equations of One-dimensional Neuronal Networks

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dc.contributor.authorHao, Han
dc.contributor.supervisorVaillancourt, Rémi
dc.contributor.supervisorGiordano, Thierry
dc.date.accessioned2013-06-14T14:42:56Z
dc.date.available2013-06-14T14:42:56Z
dc.date.created2013
dc.date.issued2013
dc.degree.disciplineSciences / Science
dc.degree.leveldoctorate
dc.degree.namePhD
dc.description.abstractTraveling wave solutions of integro-differential equations for modeling one-dimensional neuronal networks, are studied. Under moderate continuity assumptions, necessary and sufficient conditions for the existence and uniqueness of monotone increasing (decreasing) traveling wave solutions are established. Some faults in previous studies are corrected.
dc.embargo.termsimmediate
dc.faculty.departmentMathématiques et statistique / Mathematics and Statistics
dc.identifier.urihttp://hdl.handle.net/10393/24244
dc.identifier.urihttp://dx.doi.org/10.20381/ruor-3045
dc.language.isoen
dc.publisherUniversité d'Ottawa / University of Ottawa
dc.subjectTraveling wave solution
dc.subjectNeuronal network
dc.subjectIntegral-differential equation
dc.titleTraveling Wave Solutions of Integro-differential Equations of One-dimensional Neuronal Networks
dc.typeThesis
thesis.degree.disciplineSciences / Science
thesis.degree.levelDoctoral
thesis.degree.namePhD
uottawa.departmentMathématiques et statistique / Mathematics and Statistics

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