منابع مشابه
Degree Theory beyond Continuous Maps
I am very honoured and pleased to participate in the commemoration of the 50 th anniversary of the founding of the CWI of the Dutch Foundation Mathematical Centre. The subject of my talk is concerned not with diierential equations but with something that is used all the time in various nonlinear analytic problems , namely degree theory. It seems particularly appropriate to speak on this subject...
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A factorization theory is proposed for Wiener-Hopf plus Hankel operators with almost periodic Fourier symbols. We introduce a factorization concept for the almost periodic Fourier symbols such that the properties of the factors will allow corresponding operator factorizations. Conditions for left, right, or both-sided invertibility of the Wiener-Hopf plus Hankel operators are therefore obtained...
متن کاملFixed Point Theory for Multivalued Maps in Fréchet Spaces via Degree and Index Theory
New fixed point results are presented for multivalued maps defined on subsets of a Fréchet space E. The proof relies on the notion of a pseudo open set, degree and index theory, and on viewing E as the projective limit of a sequence of Banach spaces.
متن کاملTopological degree theory and local analysis of area preserving maps
We consider methods based on the topological degree theory to compute periodic orbits of area preserving maps. Numerical approximations to the Kronecker integral give the number of fixed points of the map provided that the integration step is ‘‘small enough.’’ Since in any neighborhood of a fixed point the map gets four different combinations of its algebraic signs we use points on a lattice to...
متن کاملFixed Point Theory for Admissible Pairs and Maps in Fréchet Spaces via Degree Theory
New fixed point results are presented for admissible pairs and maps (admissible in the sense of Górniewicz) defined on subsets of a Fréchet space E. The proof relies on the notion of a pseudo open set, degree theory, and on viewing E as the projective limit of a sequence of Banach spaces.
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1986
ISSN: 0022-1236
DOI: 10.1016/0022-1236(86)90105-9