Analysis of functional differential equations subject to perturbations

• Grant number: 14/14607-7
• Support type: Regular Research Grants
• Duration: October 01, 2014 - September 30, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal researcher: Suzete Maria Silva Afonso
• Grantee: Suzete Maria Silva Afonso
• Home 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)

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, 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 AUG 2017. Web of Science Citations: 1.

AFONSO, SUZETE M.; FURTADO, ANDRE L. ANTIPERIODIC SOLUTIONS FOR nTH-ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY. Electronic Journal of Differential Equations, FEB 2 2016. Web of Science Citations: 2.