Every ordinary differential equation with a strict Lyapunov function is a gradient system

被引：0

作者：

Tomáš Bárta

Ralph Chill

Eva Fašangová

机构：

[1] Charles University,Department of Mathematical Analysis

[2] Université Paul Verlaine,Laboratoire de Mathématiques et Applications de Metz et CNRS

[3] Metz,Institut für Angewandte Analysis

[4] UMR 7122,undefined

[5] Universität Ulm,undefined

来源：

Monatshefte für Mathematik | 2012年 / 166卷

关键词：

Strict Lyapunov function; Gradient system; Kurdyka–Łojasiewicz gradient inequality; Convergence to equilibrium; Damped second order ordinary differential equation; 37B25; 34D05; 34C40;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We explain and prove the statement from the title. This allows us to formulate a new type of gradient inequality and to obtain a new stabilization result for gradient-like ordinary differential equations.

引用

页码：57 / 72

页数：15

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