Mestrado em Matemática (IME)
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Navegando Mestrado em Matemática (IME) por Por Orientador "Carvalho, Marcos Leandro Mendes"
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Item Desigualdade de Díaz-Saá e aplicações(Universidade Federal de Goiás, 2017-03-03) Cunha, Lucas Gabriel Ferreira da; Carvalho, Marcos Leandro Mendes; http://lattes.cnpq.br/0894500699921156; Carvalho, Marcos Leandro Mendes; Macedo, Abiel Costa; Santos, Carlos Alberto Pereira dosIn this work we will present and demonstrate the Diaz & Saá’s Inequality thus like the tools used in their demonstration and we will apply the results obtained in semilinear elliptic problems with limited and not limited domains. We will present necessary and sufficient conditions to show the existence and uniqueness of solution for the following −Δp u = f (x, u) problem type in a limited domain. Moreover, we will also obtain regularity of solution to this problem. Next we will show results relative to the first eigenvalue of a (p, q) − Laplacian system type in R^N .Item Elementos de álgebra que auxiliam nos fundamentos do cálculo(Universidade Federal de Goiás, 2015-03-27) Freitas, Iron Felisberto de; Carvalho, Marcos Leandro Mendes; http://lattes.cnpq.br/0894500699921156; Carvalho, Marcos Leandro Mendes; Santana Filho, Jolivê Mendes de; Silva, Edcarlos Domingos daThis paper addresses the formal-logical construction of number systems from the set of natural numbers to the real numbers. Being the rst of these sets presented by the axioms of Peano (1858 - 1932) and the latter results of Dedekind cuts (1831 - 1916) on the set of rational numbers. The passage the set of natural numbers to the integers and for these the rational is done by equivalence classes. From a historical perspective, in order to do that mathematics could advance, had to migrate from a sense of \reality" to an abstract concept of number not subject to the amount of idea. Since the beginning of this formal-logical construction of number systems it is necessary to use the concept of correspondences between any two non-empty sets. Finally , are also addressed the polynomial functions of 1st and 2nd degrees and the respective charts in orthogonal Cartesian plane.Item Existência de pontos críticos de funcionais definidos em espaços de Banach via método da variedade de Nehari(Universidade Federal de Goiás, 2020-03-03) Sanches, Juliana Mancini; Carvalho, Marcos Leandro Mendes; http://lattes.cnpq.br/0894500699921156; Carvalho, Marcos Leandro Mendes; Silva, Edcarlos Domingos da; Santos, Carlos Alberto Pereira dosIn this work we present a unified approach about the method of Nehari manifold for functionals which have a local minimum at 0 and we do some examples where this method is applied in order to get ground states and multiple solutions for nonlinear elliptic boundary value problems.Item Matemática financeira: conceitos e aplicações(Universidade Federal de Goiás, 2015-08-07) Teixeira, Adriano Rodrigues; Carvalho, Marcos Leandro Mendes; http://lattes.cnpq.br/0894500699921156; Carvalho, Marcos Leandro Mendes; Vasconcelos, José Eder Salvador de; Silva, Edcarlos Domingos daThe essay brings the main concepts of financial mathematics, looking to directly connect it to the events in our surroundings. As such, we descant about interest, discounting, periodic cycles and amortization systems. We will also apply Newtons method in order to determine the interest rates on payment series.