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We consider the asymptotic growth of Hardy-field solutions of algebraic differential equations, e.g. solutions with no oscillatory component, and prove that no ‘sub-term’ occurring in a nested expansion of such can tend to zero more rapidly than a fixed rate depending on the order of the differential equation. We also consider series expansions. An example of the results obtained may be stated as follows.Let $g$ be an element of a Hardy field which has an asymptotic series expansion in $x$ , $e^{x}$ and $λ$ ,...

On a Special Class of Non Complete Webs

Julien Sebag (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

In this article, we introduce a special class of non complete webs, the NN-webs. We also study the algebraic and geometric properties of these webs.

Tissus du plan et polynômes de Darboux

Olivier Ripoll, Julien Sebag (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

Dans cet article, nous étudions le problème de l’existence de polynômes de Darboux dans $C {x} [y, y^{'}]$ pour la dérivation $δ = R (y) \partial_{x} + R (y) y^{'} \partial_{y} - V (y, y^{'}) \partial_{y^{'}}$ .

Vertex algebroids over Veronese rings.

Malikov, Fyodor (2008)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Zur Homologietheorie der assoziativen Algebren.

Klaus Wolffhardt (1971)

Manuscripta mathematica

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