CV Lattes
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Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. Instituto de Biociências, Letras e Ciências Exatas (IBILCE) (Institutional affiliation from the last research proposal) Birthplace: Brazil
graduate at Bacharelado em Matemática from Universidade Estadual Paulista Júlio de Mesquita Filho (2002), master's at Mathematics from Universidade de São Paulo (2005) and ph.d. at Mathematics from Universidade de São Paulo (2009). Has experience in Mathematics, focusing on Functional Differential Equations, acting on the following subjects: equação diferencial, sistema dinâmico, bifurcação nó-sela, retardamento dependendo do estado and existência de solução. (Source: Lattes Curriculum)
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The purpose of this project is to study evolution equations by the methods of functional analysis from the theory of operators and fixed point. In particular, we will study qualitative properties for the Blackstock-Crighton-Westervelt equation. (AU)
Taking advantage of the moment in which we are living due to the pandemic of the new corona virus, we will present a study of the epidemiological model SIR (susceptible infected recovered), which predicts the spread of a contagious disease, to motivate the study of differential equations of fractional order, comparing a mathematical model of fractional order derivative with the traditiona…
This project is divided into two parts: the first one is concerned to study some topics of functional analysis that will serve as a basis and tool for then, in the second part, we start developing the theory of semigroups of bounded linear operators. Next, we will apply the results already seen in the study of the abstract Cauchy problem. (AU)
The purpose of this project is to direct some concepts of functional analysis to the study of the properties of the space of continuous functions, also covering applications of some of these results in the study of the existence of solutions to differential equations.
(Only some records are available in English at this moment)
| 4 / 3 | Completed research grants |
| 6 / 5 | Completed scholarships in Brazil |
| 10 / 8 | All research grants and scholarships |
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