Search results for " 47H10"

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Normal forms of hyperbolic logarithmic transseries

2021

We find the normal forms of hyperbolic logarithmic transseries with respect to parabolic logarithmic normalizing changes of variables. We provide a necessary and sufficient condition on such transseries for the normal form to be linear. The normalizing transformations are obtained via fixed point theorems, and are given algorithmically, as limits of Picard sequences in appropriate topologies.

Applied MathematicsMathematics::History and OverviewFOS: Mathematicsfixed point theory ; formal normal forms ; hyperbolic fixed point ; Koenigs sequence ; linearization ; logarithmic transseries[MATH] Mathematics [math]Dynamical Systems (math.DS)Mathematics - Dynamical Systems[MATH]Mathematics [math]34C20 37C25 47H10 39B12 46A19 26A12 12J15AnalysisJournal of Differential Equations
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AN APPLICATION OF A FIXED POINT THEOREM FOR NONEXPANSIVE OPERATORS

2014

Abstract. In this note, we present an application of a recent xed point theorem by Ricceri to a two-point boundary value problem. KeyWords and Phrases: Fixed point, nonexpansive operator, two-point boundary value problem. 2010 Mathematics Subject Classi cation: 34K10, 47H09, 47H10.

Settore MAT/05 - Analisi MatematicaKeyWords and Phrases: Fixed point nonexpansive operator two-point boundary value problem. 2010 Mathematics Subject Classi cation: 34K10 47H09 47H10.
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