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Universidade Estadual Paulista (UNESP). Campus de Ilha Solteira. Faculdade de Engenharia (FEIS) (Institutional affiliation from the last research proposal) Birthplace: Brazil
Vinícius Lourenço da Rocha in research grants and scholarships supported by FAPESP.
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In this scientific initiation project, we will study the introductory theory of Ordinary Differential Equations (ODEs). For first-order equations, we will address some of the main differential equations, such as the homogeneous, autonomous, exact, linear, Bernoulli, Ricatti and Clairaut equations. In addition, we will see some methods of solving these equations, such as the separable vari…
In this project will study dynamical bounds for one-dimensional discrete Schrödinger operators with Sturmian potentials. Using a method developed by Damanik and Tcheremchantsev, we will present a non trivial dynamical upper bound to the above operators associated with a large set of irrational numbers. Also we will exhibit a irrational number for which the corresponding Sturmian operator …
In this research project will study some important topics of functional analysis such as normed spaces and Banach, Hilbert spaces, bounded linear operators, fundamental theorems for normed spaces, fixed-point theorem of Banach, spectral theory of linear operators in normed spaces, among others. We will also see some applications of this theory.(AU)
| 1 / 1 | Ongoing scholarships in Brazil |
| 2 / 2 | Completed scholarships in Brazil |
| 3 / 3 | All Scholarships |
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