数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (1): 233-243.doi: 10.1016/S0252-9602(15)30091-6

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EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR GRADIENT SYSTEMS IN FINITE DIMENSIONAL SPACES

Sahbi BOUSSANDEL   

  1. Faculté des Sciences de Gabès 6072 Zrig Gabès Cité Riadh Tunisia-Laboratoire EDP et Applications LR03ES04, Tunisia
  • 收稿日期:2014-09-25 修回日期:2015-05-16 出版日期:2016-01-30 发布日期:2016-01-30
  • 作者简介:Sahbi BOUSSANDEL,E-mail:sahbi.boussandel@yahoo.fr

EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS FOR GRADIENT SYSTEMS IN FINITE DIMENSIONAL SPACES

Sahbi BOUSSANDEL   

  1. Faculté des Sciences de Gabès 6072 Zrig Gabès Cité Riadh Tunisia-Laboratoire EDP et Applications LR03ES04, Tunisia
  • Received:2014-09-25 Revised:2015-05-16 Online:2016-01-30 Published:2016-01-30

摘要:

This paper deals with an abstract periodic gradient system in which the gradient is taken with respect to a variable metric. We obtain an existence and uniqueness result via the application of a global inverse theorem.

关键词: existence and uniqueness, periodic solutions, gradient systems, global inverse theorem

Abstract:

This paper deals with an abstract periodic gradient system in which the gradient is taken with respect to a variable metric. We obtain an existence and uniqueness result via the application of a global inverse theorem.

Key words: existence and uniqueness, periodic solutions, gradient systems, global inverse theorem

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