| 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 |
| City of the host institution: | Rio Claro |
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)
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