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Delay differential equations with impulsive self-support condition


The goal of this project is to investigate an autonomous impulsive system proposed as a model of drugs absorption by living organisms consisted of a linear differential delay equation subject to an impulsive self-support condition satisfying an initial condition. We pretend to obtain a representation of the general solution in terms of the fundamental solution of the differential delay equation. We will prove that the impulsive self-support generates periodic auto-oscillations given by fixed points of a first return map. Finally, we will investigate the existence of periodic solutions of a nonlinear version of the impulsive system. (AU)

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(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
FEDERSON, M.; GYORI, I; MESQUITA, J. G.; TABOAS, P. A Delay Differential Equation with an Impulsive Self-Support Condition. Journal of Dynamics and Differential Equations, v. 32, n. 2, p. 605-614, JUN 2020. Web of Science Citations: 0.

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