Advanced search
Start date
Betweenand

Analysis of functional differential equations subject to perturbations

Grant number: 14/14607-7
Support Opportunities:Regular Research Grants
Start date: October 01, 2014
End date: September 30, 2016
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Analysis
Principal Investigator:Suzete Maria Silva Afonso
Grantee:Suzete Maria Silva Afonso
Host Institution: Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil

Abstract

This scientific research project focuses on the study of the functional differential equationswith impulses. We intend to establish conditions that ensure existence and uniqueness of periodic solution for a class of retarded differential equations of order n> 1 subject to instant perturbations and also study conditions sufficient to guarantee the existence of anti-periodic solutions for another class of retarded differential equations of order n> 1 with impulses. Furthermore, we will investigate the question of existence and uniqueness of solution to boundary value problems of functional differential equations with discontinuities.The mathematical analysis to be developed will employ techniques of the coincidence degree theory, fixed point theory and generalized differential equations. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
More itemsLess items
Articles published in other media outlets ( ):
More itemsLess items
VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

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)
AFONSO, SUZETE M.; FURTADO, ANDRE L.. ANTIPERIODIC SOLUTIONS FOR nTH-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY. Electronic Journal of Differential Equations, v. N/A, p. 8-pg., . (14/14607-7)
AFONSO, SUZETE M.; FURTADO, ANDRE L.. ANTIPERIODIC SOLUTIONS FOR nTH-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY. Electronic Journal of Differential Equations, . (14/14607-7)
AFONSO, S. M.; FURTADO, A. L.. On Anti-Periodic Solutions for a Class of Impulsive Retarded Functional Differential Equations. Mediterranean Journal of Mathematics, v. 14, n. 4, . (14/14607-7)