Delay differential equations with impulsive self-support condition

• Grant number: 14/04732-9
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: September 13, 2014
• End date: October 04, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Jaqueline Godoy Mesquita
• Grantee: Jaqueline Godoy Mesquita
• Visiting researcher: Istvan Gyori
• Visiting researcher institution: University of Pannonia, Hungary
• Host Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil
• Associated research grant: 13/17104-3 - Impulsive functional dynamic equations on time scales and applications, AP.JP

Abstract

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)

Scientific publications

(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. (13/17104-3, 17/13795-2, 14/04732-9)