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Involuções fixando muitas componentes e melhorias para o 5/2-Teorema de J. Boardman
(Universidade Federal de São Carlos, 2012-03-05)
Let (Mm; T) be a smooth involution on a closed smooth m-dimensional manifold and F = n [j=0 Fj (n < m) its fixed point set, where Fj denotes the union of those components of F having dimension j. The famous Five Halves ...
O número de Milnor de uma singularidade isolada
(Universidade Federal de São Carlos, 2011-11-24)
Given (X; 0) C (CN; 0) a weighted homogeneous germ of hypersurface with isolated singularity and f : (CN; 0) - C a germ of function finitely determined with respect to X, we show that UBR(f;X) = U(f) + U(X; f), where U(f) ...
Injetividade de aplicações polinomiais via resolubilidade de campos vetoriais
(Universidade Federal de São Carlos, 2010-08-19)
Let F : Rn → Rn be a polynomial map such that the derivative map DF(x) be invertible for each x ∈ Rn. In this work, using techniques of solvability of suitable vector fields, we investigate the role of the ...
Existência global de soluções para alguns sistemas de leis de conservação
(Universidade Federal de São Carlos, 2010-08-17)
In this work, we studied the construction of weak solutions for some systems conservation laws and for a scalar conservation laws For the p-systems relativistic we use the Wave-front tracking based on Bressan, when the ...
Atrator no sentido pullback e trajetórias completas extremas para problemas governados pelo p-Laplaciano
(Universidade Federal de São Carlos, 2011-03-25)
We study non-autonomous problems with the main part given by the p- Laplacian and establish existence results of pullback attractor, comparison of solutions and existence of a maximal and a minimal complete trajectories. ...
O problema pseudoviscoso e a equação de BBM-Burgers estocásticos
(Universidade Federal de São Carlos, 2016-09-30)
This work is divided in two parts: In the first part, we study the convergence of a sequence
of approximating solutions to a solution of the stochastic conservation law, in the additive and
multiplicative case. In the ...
Aplicações entre 3-variedades Sol e números de Nielsen para coincidências
(Universidade Federal de São Carlos, 2017-08-24)
Let MA be the torus bundle over S1 obtained using as gluing map an Anosov matrix A. In this work we discuss maps from MA to MD and compute the coincidence Nielsen numbers for some families of such maps, moreover we use ...
Sobre uma família de equações de evolução não lineares : existência, classificação e instabilidade de soluções ondas viajantes
(Universidade Federal de São Carlos, 2018-03-26)
This thesis is concerned with the orbital instability for a specific class of periodic traveling wave solutions with the mean zero related to the modified Camassa-Holm equation. These solutions, called snoidal waves, are ...
Applications of topological degree theory to generalized ODEs
(Universidade Federal de São Carlos, 2019-10-27)
In this work, we present original results concerning the theory of Generalized Ordinary Differential Equations (we write generalized ODEs for short) using tools from the Topological Degree theory. In particular, we proved ...
Problemas elípticos superlineares com ressonância
(Universidade Federal de São Carlos, 2015-08-14)
The aim of this work is to present results about the existence of non-trivial solutions for some classes of resonant and superlinear eliptic systems employing topological methods. More specifcally, we use a-priori bounds ...