CV Lattes
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Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Instituto de Geociências e Ciências Exatas (IGCE) (Institutional affiliation for 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…
This project aims to introduce the basic concepts and results of Impulsive Differential Equations (EDI). That is, to state and prove the classical results on the existence of a solution, a continuation of the solution, and stability of impulsive systems of ordinary differential equations. Exemplify this theory through biological and/or ecological models, such as the prey-predator type. In…
This project aims to establish the qualitative theory of Ordinary Differential Equations (ODE) and to carry out the study of biological models. That is, we intend to study: the existence, uniqueness, prolongation of solutions and generalized Gronwall inequality, dependence on initial conditions and parameters, Poincaré-Bendixon theory, and homogeneous and non-homogeneous linear systems: s…
With this project, we intend to introduce the essential elements of Geometry and Hyperbolic Trigonometry and also Spherical Geometry and study results that involve these elements, especially those applied to Differential Geometry. Let's go first carry out the study of the upper semiplane and the Poincaré disk. Next we will approach the transformations that keep the disk and the invariant …
Motivated by the problem of the fractional harmonic oscillator, we intend to discuss certain approaches about fractional derivatives, and fractional integrals (simply called differintegral), ie the Riemann-Liouville, the Caputo and sequential approaches. The proposal is to build a theoretical framework in which the definition of the fractional derivative and, consequently, the differentia…
Derivative and integral are the fundamental notions of calculus and there are a variety of integrals, developed over the years, for different purposes. It is also known that the Riemann integrable function class is very restricted and does not have good convergence properties. Thus, this project has the objective of presenting important results on the Integration Theory involving other ty…
This project aims to introduce the basic theory of Partial Differential Equations (PDE) and to perform a study about Fourier Series, definition of Fourier Series, to build results that guarantee the point and uniform convergence and to define the Fourier Transform and its properties. Next, we define the Variable Separation Method to solve certain PDE. In particular, it is intended to work…
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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…
| 1 / 1 | Ongoing research grants |
| 3 / 3 | Completed research grants |
| 3 / 3 | Ongoing scholarships in Brazil |
| 9 / 7 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 18 / 16 | All research grants and scholarships |
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