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arXiv · 1406.4111

Side conditions for ordinary differential equations

G. Cicogna·G. Gaeta·S. Walcher
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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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G. Cicogna, G. Gaeta, S. Walcher. 2014-06-11. Side conditions for ordinary differential equations. https://arxiv.org/abs/1406.4111

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