Zobrazeno 1 - 10
of 108
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
Publikováno v:
Fixed Point Theory and Applications, Vol 2010, Iss 1, p 845631 (2010)
Given a tangent vector field on a finite-dimensional real smooth manifold, its degree (also known as characteristic or rotation) is, in some sense, an algebraic count of its zeros and gives useful information for its associated ordinary differential
Externí odkaz:
https://doaj.org/article/b9a77611b7064b32a33de174a7854bea
Publikováno v:
Fixed Point Theory and Applications, Vol 2006, Iss 1, p 27154 (2006)
In a recent paper we gave a notion of degree for a class of perturbations of nonlinear Fredholm maps of index zero between real infinite dimensional Banach spaces. Our purpose here is to extend that notion in order to include the degree introduced by
Externí odkaz:
https://doaj.org/article/05e8609fbe764992a997666b7a768cf1
Publikováno v:
Fixed Point Theory and Applications, Vol 2005, Iss 2, p 659461 (2005)
We define a notion of degree for a class of perturbations of nonlinear Fredholm maps of index zero between infinite-dimensional real Banach spaces. Our notion extends the degree introduced by Nussbaum for locally -contractive perturbations of the ide
Externí odkaz:
https://doaj.org/article/42621441ece248e499029ae7e7dc950c
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:
Fixed Point Theory and Applications, Vol 2004, Iss 4, p 478686 (2004)
It is well known that some of the properties enjoyed by the fixed point index can be chosen as axioms, the choice depending on the class of maps and spaces considered. In the context of finite-dimensional real differentiable manifolds, we will provid
Externí odkaz:
https://doaj.org/article/1022b29e86a24d5587a7cc48d1c19945
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