Now showing items 1-10 of 93
O Grau de Coincidência e aplicação às equações diferenciais ordinárias periódicas
(Universidade Federal de São Carlos, 2019-04-15)
In this work, we will present the coincident degree theory for Fredholm operators of index zero - denoted by L and defined on Banach spaces -, which is an important tool to obtain the existence of solutions for equations ...
Determinante regularizado do Laplaciano e conjuntos isoespectrais em superfícies
(Universidade Federal de São Carlos, 2019-02-27)
On compact surfaces with boundary, with some conditions in a conformal class, we study the problem about to find a metric with constant Gaussian curvature with boundary of constant geodesic curvature for which the regularized ...
Um teorema fundamental para hipersuperfícies em produtos torcidos semi-riemannianos
(Universidade Federal de São Carlos, 2019-03-15)
The aim of this dissertation is to show a demonstration of a fundamental theorem for existence of isometric immersions for hypersurfaces in a warped product space where the base is a interval and the fiber is a spatial ...
Identidades polinomiais Zn-graduadas da álgebra Mn(F)
(Universidade Federal de São Carlos, 2016-02-22)
In this works we will study G-graded algebras and G-graded polynomial identities, where G is an additive group. For main result we will describe a finite basis for Zn-graded polynomial identities of the matrix algebra of ...
Generalizações do truque de Kotani
(Universidade Federal de São Carlos, 2016-02-17)
We present a study of rank-one perturbations of self-adjoint and unitary operators, in particular related to the so-called Kotani’s trick. In Chapter 2 we recall relevant definitions and elementary facts. In Chapter 3 we ...
Hipoelipticidade, resolubilidade e formas normais para campos vetoriais no toro
(Universidade Federal de São Carlos, 2015-04-24)
The main aim of this work is to study a class of real vector elds de ned on a torus, where the concepts of global hypoellipticity, global C1 solvability and reduction to its normal form are equivalents. We also study a ...
A mean-field game model of economic growth : an essay in regularity theory
(Universidade Federal de São Carlos, 2016-12-20)
In this thesis, we present a priori estimates for solutions of a mean-field game (MFG) defined over a bounded domain Ω ⊂ ℝd. We propose an application of these results to a model of capital and wealth accumulation. In ...
Fibrados, classes de Stiefel-Whitney e resultados de não imersão
(Universidade Federal de São Carlos, 2012-09-24)
We present an introductory study of smooth manifolds, bundles and Stiefel- Whitney classes (of real vector bundles). We explained that, given a certain smooth m-dimensional manifold, the Stiefel- Whitney classes of its ...
Uma caracterização homotópica do espaço de laços da suspensão de um espaço topológico
(Universidade Federal de São Carlos, 2011-03-06)
Our main goal in this dissertation is to show that the loopspace of reduced suspension of a connected CW complex X has the same type of homotopy that the free topological monoid generated by X.
Recobrimentos ramificados entre superfícies e 2-orbifolds geométricos
(Universidade Federal de São Carlos, 2014-10-22)
The purpose of this work is to study the realizability problem of branched coverings between closed, connected and orientable surfaces. For each covering, there exists a set of naturally associated data called branch datum ...