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

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.

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Bibliographische Detailangaben
Veröffentlicht in:	Acta mathematica scientia 2016, Vol.36 (1), p.233-243
1. Verfasser:	BOUSSANDEL, Sahbi
Format:	Artikel
Sprache:	eng
Schlagworte:	34K30 existence and uniqueness global inverse theorem gradient systems periodic solutions 周期解存在唯一性有限维空间梯度系统逆定理
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Beschreibung
Zusammenfassung:	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.
ISSN:	0252-9602 1572-9087
DOI:	10.1016/S0252-9602(15)30091-6