14-50 G. Cicogna, G. Gaeta, S. Walcher

Side conditions for ordinary differential equations (61K, LaTex) Jun 26, 14

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Abstract. We specialize Olver's and Rosenau's side condition heuristics for the determination of particular invariant sets of ordinary differential equations. It turns out that side conditions of so-called LaSalle type are of special interest. Moreover we put side condition properties of symmetric and partially symmetric equations in a wider context. In the final section we present an application to parameter-dependent systems, in particular to quasi-steady state for chemical reactions.

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