Abstract
The objective of this project is to study applications of coincidence degree theory to prove the existence and multiplicity of nontrivial periodic solutions for ordinary differential equations and partial differential equations.
Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica (IMECC) (Institutional affiliation from the last research proposal) Birthplace: Brazil
He holds a degree in Mathematics from the Federal University of Pará (2005), a Master's degree in Mathematics from the State University of Campinas (2008) and a PhD in Mathematics from the State University of Campinas (2010). He has experience in the area of Mathematics, with an emphasis on Analysis, working mainly on the following topics: Qualitative Theory of Parabolic Partial Differential Equations and Generalized Phase Field Type, Control Theory of Parabolic Equations, Theory of Semigroups, Theory of Non-Elliptic Equations variational. He is currently Associate Professor III in the Department of Mathematics at the Federal University of Viçosa (UFV) and Member of the Coordinating Committee of the Academic Master's Degree in Mathematics at UFV since 2016. (Source: Lattes Curriculum)
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The objective of this project is to study applications of coincidence degree theory to prove the existence and multiplicity of nontrivial periodic solutions for ordinary differential equations and partial differential equations.
In this project we will analyze, in a mathematically rigorous way, a distributed optimal control problem modeling a situation in which one tries to cotrol a mosquito population in a certain region by using insecticide applied by a moving spreading unit.The intention is to characterize an optimal trajectory to be followed by this unit in order to minimize a certain functional that tries a…
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