An inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations

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dc.creatorClairambault, Jean
dc.creatorGaubert, Stephane
dc.creatorPerthame, Benoit
dc.date2007-04-28
dc.date.accessioned2026-07-07T08:46:35Z
dc.date.available2026-07-07T08:46:35Z
dc.descriptionFor monotone linear differential systems with periodic coefficients, the (first) Floquet eigenvalue measures the growth rate of the system. We define an appropriate arithmetico-geometric time average of the coefficients for which we can prove that the Perron eigenvalue is smaller than the Floquet eigenvalue. We apply this method to Partial Differential Equations, and we use it for an age-structured systems of equations for the cell cycle. This opposition between Floquet and Perron eigenvalues models the loss of circadian rhythms by cancer cells.
dc.description7 pages, in English, with an abridged French version
dc.identifierhttps://arxiv.org/abs/0704.3820
dc.identifierhttp://arxiv.org/abs/0704.3820
dc.identifierComptes Rendus Mathematique, Volume 345, Issue 10, 15 November 2007, Pages 549-554
dc.identifierdoi:10.1016/j.crma.2007.10.001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143299
dc.subjectSpectral Theory
dc.subjectAnalysis of PDEs
dc.subject35B10; 35P15; 35Q80; 92D25
dc.titleAn inequality for the Perron and Floquet eigenvalues of monotone differential systems and age structured equations
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