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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A Delay Differential Equation with an Impulsive Self-Support Condition

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Author(s):
Federson, M. [1] ; Gyori, I [2] ; Mesquita, J. G. [3] ; Taboas, P. [1]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, ICMC, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Pannonia, Dept Math, Egyet U 10, Pf158, H-8201 Veszprem - Hungary
[3] Univ Brasilia, Dept Matemat, Campus Univ Darcy Ribeiro, BR-70910900 Brasilia, DF - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Dynamics and Differential Equations; v. 32, n. 2, p. 605-614, JUN 2020.
Web of Science Citations: 0
Abstract

The object of study is an autonomous impulsive system proposed as a model of drugs absorption by living organisms consisting of a linear differential delay equation and an impulsive self-support condition. We get a representation of the general solution in terms of the fundamental solution of the differential delay equation. The impulsive self-support generates periodic auto-oscillations given by fixed points of a first return map. (AU)

FAPESP's process: 13/17104-3 - Impulsive functional dynamic equations on time scales and applications
Grantee:Jaqueline Godoy Mesquita
Support type: Research Grants - Young Investigators Grants
FAPESP's process: 17/13795-2 - Non Absolute Integration and Applications
Grantee:Márcia Cristina Anderson Braz Federson
Support type: Regular Research Grants
FAPESP's process: 14/04732-9 - Delay differential equations with impulsive self-support condition
Grantee:Jaqueline Godoy Mesquita
Support type: Research Grants - Visiting Researcher Grant - International