Fixed Point Theorem
Mostrando 1-12 de 14 artigos, teses e dissertações.
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1. Existence, Uniqueness, and Approximation for Solutions of a Functional-integral Equation in Lp Spaces
RESUMO Neste trabalho estabelecemos condições que garantem existência e unicidade de solução da equação integral-funcional geral y ( t ) = f ( t , ∫ 0 1 k ( t , s ) g ( s , y ( s ) ) d s ) , t ∈ [ 0 , 1 ] , em L p ( [ 0 , 1 ] ), com 1 p ∞. Utilizamos o Teorema de Ponto Fixo de Banach e aplicamos o método de aproximações sucessi
TEMA (São Carlos). Publicado em: 13/12/2019
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2. Involuções fixando muitas componentes e melhorias para o 5/2-Teorema de J. Boardman
Let (Mm; T) be a smooth involution on a closed smooth m-dimensional manifold and F = n [j=0 Fj (n
IBICT - Instituto Brasileiro de Informação em Ciência e Tecnologia. Publicado em: 05/03/2012
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3. On a nonstationary nonlinear coupled system
In this paper, a strongly nonlinear coupled elliptic-parabolic system modelling a class of engineering problems with heat effect is studied. Existence of a weak solution is first established by Schauder fixed point theorem, where the coupled functions σ(s), k(s) are assumed to be bounded. The uniqueness of the solution is obtained by applying Meyers' theore
Computational & Applied Mathematics. Publicado em: 2011
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4. Existence and Uniqueness of a Fixed-Point for Local Contractions
This paper proves the existence and uniqueness of a fixed-point for local contractions without assuming the family of contraction coefficients to be uniformly bounded away from 1. More importantly it shows how this fixed-point result can apply to study existence and uniqueness of solutions to some recursive equations that arise in economic dynamics.
Publicado em: 15/05/2008
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5. Teorema Central do Limite para o modelo O(N) de Heisenberg hierárquico na criticalidade e o papel do limite N ->infinito na dinâmica dos zeros de Lee-Yang / Central Limit Theorem for the hierarchical O(N) Heisenberg model at criticality and the role of the N ->infinity limit for the Lee-Yang zeros´s dynamics
In this work we stablish the Central Limit Theorem for the hierarchical O(N) Heisenberg model at criticality via partial differential equation in the limit N ->infinity. For simplicity we only treat the d = 4 case but the theorem is still valid for d >4. By studying a given partial differential equation (PDE) we determine for any d >2 the critical inverse te
Publicado em: 2008
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6. Um teorema tipo Borsuk-Ulam para espaços topológicos gerais em termos do grupo fundamental
The celebrate 2-dimensional Borsuk-Ulam theorem says that if f is a continuous map from the 2-dimensional sphere and with values in the euclidean 2-dimensional space then there exists a point x in the 2-dimensional sphere such that f(x) = f(-x). Many generalizations of this result have been studied, in many directions. A line of generalizations consists in r
Publicado em: 2008
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7. Set-valued functions / Funções ponto a conjunto
We study a mapping called a set-valued map which associates with each point of a metric space a non empty subset of another metric space. In the case of single-valued maps, contin-uous functions are characterized by two equivalent properties: one in terms of neighborhood and other in terms of sequences. These two properties can be adapted to the case of set-
Publicado em: 2005
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8. A modification of the convergence conditions for Picard's iteration
The convergence of the method of successive approximations is usually studied by the fixed point theorem. An alternative to this theorem is given in this work, where a contraction mapping is not necessary. An application to nonlinear integral equations of Fredholm type and second kind is also presented.
Computational & Applied Mathematics. Publicado em: 2004
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9. Solidificação de ligas binarias : existencia de soluções de modelos do tipo campo de fase
In this work we present results of existence of solutions for some mathematical models of phase- field type for solidification of binary alloys. Firstly, we consider a model based on a highly non-linear degenerate parabolic system of partial differential equations, with three independent variables: phase-field, solute concentration and temperature. After tha
Publicado em: 2002
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10. Alguns aspectos da geometria riemanniana das variedades de Hilbert
The aim of this work is to formalize the local theory of infinite dimensional Riemannian manifold and to study the geometry/ topology when the sectional curvature is bounded by two positive constant. We compare this situation with the finite dimensional case and emphasize the difference. The local theory was already developed since 1960, so we describe, brie
Publicado em: 2002
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11. Existência e bifurcações de soluções periódicas da equação de Wright. / Existence and bifurcations of periodic solutions of the Wright s equations.
This work is concerned with periodicity in the Wright s equation. We prove the existence of nonconstant periodic solutions by exploiting the ejectivity concept in a theorem of fixed point. Furthemore, we prove the existence of an infinite sequence of Hopf Bifurcations.
Publicado em: 1999
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12. On a sharpened form of the Schauder fixed-point theorem
If K is a compact convex subset of a locally convex topological vector space X, we consider a continuous mapping f of K into X. A fixed-point theorem is proved for such a map f under the assumption that for a given continuous realvalued function p on K × X with p(x,y) convex in y and for each point x in K not fixed by f, there exists a point y in the inward