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pro vyhledávání: '"Furi Massimo"'
This paper aims to provide a careful and self-contained introduction to the theory of topological degree in Euclidean spaces. It is intended for people mostly interested in analysis and, in general, a heavy background in algebraic or differential top
Externí odkaz:
http://arxiv.org/abs/2304.06463
We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd dimension and we prove a Rabinowitz-type global continuation result. Th
Externí odkaz:
http://arxiv.org/abs/2101.02910
We extend to the infinite dimensional context the link between two completely different topics recently highlighted by the authors: the classical eigenvalue problem for real square matrices and the Brouwer degree for maps between oriented finite dime
Externí odkaz:
http://arxiv.org/abs/2006.15539
We consider the nonlinear eigenvalue problem $Lx + \varepsilon N(x) = \lambda Cx$, $\|x\|=1$, where $\varepsilon,\lambda$ are real parameters, $L, C\colon G \to H$ are bounded linear operators between separable real Hilbert spaces, and $N\colon S \to
Externí odkaz:
http://arxiv.org/abs/1912.07021
Thanks to a connection between two completely different topics, the classical eigenvalue problem in a finite dimensional real vector space and the Brouwer degree for maps between oriented differentiable real manifolds, we were able to solve, at least
Externí odkaz:
http://arxiv.org/abs/1912.03182
Publikováno v:
Nonlinear Functional Analysis and Applications Vol. 14, No. 2 (2009), pp. 317-347
Given any continuous self-map f of a Banach space E over K (where K is R or C) and given any point p of E, we define a subset sigma(f,p) of K, called spectrum of f at p, which coincides with the usual spectrum sigma(f) of f in the linear case. More g
Externí odkaz:
http://arxiv.org/abs/1005.1819
Autor:
Furi, Massimo, Spadini, Marco
We apply topological methods to the study of the set of harmonic solutions of periodically perturbed autonomous ordinary differential equations on differentiable manifolds, allowing the perturbing term to contain a fixed delay. In the crucial step, i
Externí odkaz:
http://arxiv.org/abs/0810.0185
Akademický článek
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Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
Thanks to a connection between two completely different topics, the classical eigenvalue problem in a finite dimensional real vector space and the Brouwer degree for maps between oriented differentiable real manifolds, we were able to solve, at least
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9179d38c7cb02d008438cca5f23b27c1
https://doi.org/10.12775/tmna.2021.006
https://doi.org/10.12775/tmna.2021.006
