CV Lattes
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Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Instituto de Geociências e Ciências Exatas (IGCE) (Institutional affiliation from the last research proposal) Birthplace: Brazil
bachelor's at Matemática from Universidade Federal Fluminense (2007) and master's at Mathematics from Universidade Federal Fluminense (2008). Has experience in Mathematics, focusing on Functional Differential Equations (Source: Lattes Curriculum)
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This project aims at theoretical and applied advances in the study of functional integral equations, generalized ordinary differential equations, and impulsive semidynamical systems-key research lines for the mathematical modeling of complex dynamic phenomena. The research is structured around three main axes: (A) stability analysis of solutions to functional integral equations, (B) topol…
In this project we propose the study of the thermodynamical formalism for a class of partially hyperbolic systems associated to regular potentials. We start with the study of a family of partially hyperbolic horseshoes for which we obtain linear response formulas for the equilibrium states associated to Hölder continuous potentials with small variation. Then we study partially hyperbolic…
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 a…
This project proposes the study of the basic theories of Ordinary and Partial Differential Equations, in addition to the study of their applications in Physics. More specifically, with this project, we intend to explore mathematical models that describe physical phenomena, in order to understand the role of Differential Equations and their importance in modeling real physical systems for …
This project aims to explore the theory of generalized ordinary differential equations (generalized ODEs) and its correspondences with other types of differential equations, such as retarded functional differential equations, measure differential equations and impulsive differential equations. The main motivation to study the generalized ODEs is due to the fact that it is possible to obt…
This project aims to investigate qualitative properties of solutions of functional differential equations using the composite coincidence degree theory and results from the theory of generalized ordinary differential equations. We intend to obtain results for the following classes of functional differential equations: linear functional differential equations, neutral functional differenti…
This project aims to explore the basic theory of delay differential equations (DDEs), as well as qualitative properties of solutions of DDEs applied to population dynamics, such as global stability and periodicity.(AU)
This project aims to explore the coincidence degree theory for perturbations of Fredholm linear operators, in order to apply it to the study of periodicity of solutions of functional differential equations that can be reduced to an operator equation of the type Lx = Nx in a certain subset O of a Banach space X, where L is a Fredholm linear operator of index zero and N is a L-compact mappi…
(Only some records are available in English at this moment)
In addition to advancing the topics outlined in project grant #2023/01210-0 on the qualitative analysis of functional differential equations, we aim to establish a new correspondence between fuzzy differential equations and generalized ordinary differential equations under the supervision of Professor Caraballo at the University of Seville. This research seeks to derive unpublished and br…
| 1 / 1 | Ongoing grants |
| 3 / 3 | Completed research grants |
| 2 / 2 | Ongoing scholarships in Brazil |
| 6 / 6 | Completed scholarships in Brazil |
| 1 / 1 | Ongoing scholarships abroad |
| 13 / 13 | All research grants and scholarships |
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