Session S12 - Delay and functional differential equations and applications

Tuesday, July 13, 13:40 ~ 14:15 UTC-3

A delay differential equation with an impulsive self-support condition

Márcia Federson

Universidade de São Paulo, Brazil   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We investigate an autonomous impulsive system proposed as a model of drugs absorption and consisting of a linear differential delay equation and an impulsive self-support condition. A representation of the general solution in terms of the fundamental solution is obtained. We also show that the impulsive self-support condition generates periodic auto-oscillations given by fixed points of a first return map.

Joint work with Istvan Gyori (University of Pannonia, Hungary), Jaqueline G. Mesquita (Universidade de Brasília, Brazil) and Plácido Táboas (Universidade de São Paulo, Brazil).

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