Advanced search
Start date
Betweenand
Related content
(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

Full text
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