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
Graduated in Mathematics at Universidade Estadual Paulista "Júlio de Mesquita Filho" in 1995, she completed a master's and doctorate in Mathematics from the University of São Paulo, at ICMC-USP, in the area of Differential Equations with Delay and Impulse She holds the position of associate professor at Universidade Estadual Paulista "Júlio de Mesquita Filho", at the Institute of Geosciences and Exact Sciences in Rio Claro-SP. The main line of research is the study of the behavior of solutions of differential equations with delay and impulses: oscillation, periodic solutions and asymptotic behavior. (Source: Lattes Curriculum)
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This research project in Mathematics uses delayed functional differential equations for the study of epidemiological models, with an emphasis on recent work on modeling the COVID-19 pandemic. It is intended to investigate such models, in their original formulations and propose modifications throughout the research, in a mathematical perspective, when considering classical issues such as e…
The differential equations in measure allow us to treat situations more general than the differential equations with retardation and even more general than the impulsive ordinary ones. The study of this type of equation began with W. Shchedeke, P. Das and R. Sharma in the early 1970s. Since then several authors have devoted themselves to studying this class of equations. Also, with the ob…
(Only some records are available in English at this moment)
The purpose of this project is to rigorously address the qualitative theory of differential equations with retardation, such as the results of existence, uniqueness of solution, prolongation of solutions and continuous dependence regarding initial conditions. Then address stability theory and apply the techniques discussed in models described by retarding equations, such as biological mod…
The objective of this research project is to investigate the spectral and self -despair properties associated with linear functional differential equations. Research will focus on the theoretical analysis of the characteristic equation and self -disclaiming of the solutions associated with linear operators in Banach and Hilbert spaces. The focus will be on establishing a profound understa…
Operators defined in infinite-dimensional spaces (Banach and Hilbert) and spectral theory on Hermitian operators will be studied. To do this, we will see some results on continuous n-linear applications, the adjoint and the unitary, normal and Hermitian operators. We will apply this theory to the Fredholm Alternative. Furthermore, using the theory of compact Hermitian linear operators, we…
In this project, we initially intend to discuss classic and important results of the Qualitative Theory of ODE - Ordinary Differential Equations and then study similar results for the case of ODE - Fractional Differential Equations, especially those involving the Riemann-Liouville and Caputo derivatives. Finally, we will study mathematical models described by this type of equations, such …
The aim of this project is to research two interesting topics about Ordinary Differential Equations that are not developed in undergraduate Mathematics subjects: qualitative theory and its applicability in the study of certain models. We will study the stability of autonomous systems and demonstrate the Hartman-Grobman Theorem.
This project aims to establish the basic theory of Retarded Functional Differential Equations (RFDE) and to present some applications of this study to certain models. That is, enunciate and prove the classic results about existence of solution, continuation of solution, continuity with respect to initial conditions and study the stability of autonomous equations. Exemplify this theory th…
(Only some records are available in English at this moment)
The aim is to study the fundamental concepts of topological degree and its application to nonlinear differential equations involving boundary value problems.
This project aims to complement the study initiated in Brazil on Partial Differential Equations and their applications to the Mathematical Physics. The idea is to take advantage of the experience that Dr. Francesca Dalbono of the University of Palermo has in the area of Ordinary and Partial Differential Equations, to carry out a study on Linear Laplace Equations and start the study on non…
There are two suggested topics for research. First consider a particular case and autonomous Lotka-Volterra model with multiple delays and we are interested in building conditions to ensure the existence of some critical values of delays for which the equation has a pair of characteristic roots on the imaginary axis and then study possible Hopf bifurcations on the central manifold. Anothe…
| 4 / 4 | Completed research grants |
| 3 / 3 | Ongoing scholarships in Brazil |
| 15 / 13 | Completed scholarships in Brazil |
| 3 / 3 | Completed scholarships abroad |
| 25 / 23 | All research grants and scholarships |
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