On the Coercivity of Continuously Differentiable Vector Fields

• Tudoran, Răzvan M ^[1]
  1. [1] West University of Timişoara

     West University of Timişoara

     Rumanía

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 19, Nº 2, 2020
• Idioma: inglés
• DOI: 10.1007/s12346-020-00394-1
• Enlaces
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• Resumen

  • Given an arbitrary fixed continuously differentiable vector field on Rn, we prove that this vector field is coercive if and only if its conservative part is coercive. We apply this result in order to provide sufficient conditions to guarantee the co-existence of equilibrium states of a continuously differentiable vector field and its conservative part.

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