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A generalization of Bendixson's criterion |
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| Authors: | Michal Feckan |
| Institution: | Department of Mathematical Analysis, Comenius University, Mlynská dolina, 842 48 Bratislava, Slovakia |
| 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. |
| Keywords: | Invariant submanifolds first integrals flows |
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