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Now showing items 11-15 of 15
Uma nota sobre o teorema de Borsuk-Ulam
(Universidade Federal de São Carlos, 2011-02-25)
The main objective of this work is to prove that the map B defined on F and taking values in B, where F is the set of all continuous functions from Sn to Rn and B is the set of all nonempty closed subsets of Sn, invariant ...
Homotopias finitamente fixadas e pares de homotopias finitamente coincidentes
(Universidade Federal de São Carlos, 2011-03-02)
In the area of the theory of fixed points and coincidences of Nielsen, this study aims to develop techniques to minimize the set of fixed points in homotopies and the set of coincidences in pairs of homotopies. The techniques ...
Aspectos homológicos e homotópicos do teorema de Borsuk-Ulam
(Universidade Federal de São Carlos, 2011-02-20)
The objetive of this work is to generalize the classic Borsuk-Ulam's Theorem.
We studied there generalizations with respect to any comapact and Hausdor T-
space. We used in the proofs the Z2-index of Yang and the B-index. ...
Leis de conservacão escalar: fórmula explícita e unicidade
(Universidade Federal de São Carlos, 2011-03-23)
We study scalar conservation laws, with the deduction of an explicit formula of a smooth solution with compact support, we also present the behavior of the solution given by the formula when the initial value is zero outside ...
Mínimos locais de funcionais com dependência especial via Γ-convergência: com e sem vínculo
(Universidade Federal de São Carlos, 2011-05-30)
We address the question of existence of stationary stable solutions to a class of reaction-diffusion equations with spatial dependence in 2 and 3-dimensional bounded domains. The approach consists of proving the existence ...