A generalization of Bendixson’s criterion

Fečkan, Michal

doi:10.1090/S0002-9939-01-06107-X

A generalization of Bendixson’s criterion
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by Michal Fečkan PDF

Proc. Amer. Math. Soc. 129 (2001), 3395-3399 Request permission

Abstract:

Bendixson’s condition on the nonexistence of periodic solutions for planar ordinary differential equations is extended to higher dimensional ordinary differential equations with first integrals to preclude the existence of certain invariant Lipschitz compact submanifolds for those equations.

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