Global existence and boundedness for quasi-variational systems

Giancarlo Cantarelli

International Journal of Mathematics and Mathematical Sciences, 1999, vol. 22, 1-31

Abstract:

We consider quasi-variational ordinary differential systems, which may be considered as the motion law for holonomic mechanical systems. Even when the potential energy of the system is not bounded from below, by constructing appropriate Liapunov functions and using the comparison method, we obtain sufficient conditions for global existence of solutions in the future and for their partial boundedness.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:591307

DOI: 10.1155/S0161171299222818

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