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.
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页码：205 / 212
页数：8
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