Strong minimizers of the calculus of variations on time scales and the Weierstrass condition

被引：21

作者：

Malinowska, Agnieszka B. ^{[1
]}

Torres, Delfim F. M. ^{[1
]}

机构：

[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal

来源：

PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES | 2009年 / 58卷 / 04期

关键词：

calculus of variations; time scales; strong minimizers; Weierstrass optimality condition;

D O I：

10.3176/proc.2009.4.02

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We introduce the notion of strong local minimizer for the problems of the calculus of variations on time scales. Simple examples show that on a time scale a weak minimum is not necessarily a strong minimum. A time scale form of the Weierstrass necessary optimality condition is proved, which enables to include and generalize in the same result both continuous-time and discrete-time conditions.

引用

页码：205 / 212

页数：8

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