Dynamical systems method and surjectivity of nonlinear maps期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Dynamical systems method and surjectivity of nonlinear maps

Institution:	1. Grupo ASYNACS (Ref. CCEE2011/R34), Dpto. de Física y Matemáticas, Universidad de Alcalá, Ap. Correos 20, E-28871 Alcalá de Henares, Madrid, Spain;2. Dpto. Matemática Aplicada a las TIC, Research Center on Software Technologies and Multimedia Systems for Sustainability (CITSEM), UPM, Spain;1. Université de Lille, CNRS, UMR 8524 - Laboratoire Paul Painlevé, F-59000 Lille, France;2. Università degli Studi di Padova, Dipartimento di Matematica, Via Trieste 63, 35121–Padova, Italy;1. LARIS, Université d’Angers, 62 avenue Notre Dame du Lac, 49000 Angers, France;2. ENSTA-Bretagne, 2 rue Franois Verny, 29806 Brest Cedex 09, France;1. Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100 Denmark;2. Faculty of Mathematics, University of Vienna, Oskar-Morgenstern-Platz 1, 1090 Wien, Austria;3. Institute for Algebra, Johannes Kepler University Linz, Altenbergerstraße 69, 4040 Linz, Austria;1. Departamento de Matemática, FCEN, Universidad de Buenos Aires and IMAS UBA-CONICET, Ciudad Universitaria, 1428 Buenos Aires, Argentina;2. IRMAR (UMR CNRS 6625), Université de Rennes 1, Campus de Beaulieu, 35042 Rennes Cedex, France

Abstract:	If F : H → H is a $C_{loc}^{2}$ -map in a real Hilbert space, sup_{u ∈ B(u₀,R)}∥F′(u)]⁻¹∥ ⩽ m(R), and ${limsup}_{R > 0} \frac{R}{m (R)} = \infty$ , then F is surjective.

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