Transversality conditions for infinite horizon variational problems on time scales

被引：33
|
作者：
Malinowska, Agnieszka B. [1 ,2 ]
Martins, Natalia [1 ]
Torres, Delfim F. M. [1 ]
机构：
[1] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal
[2] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland
来源：
OPTIMIZATION LETTERS | 2011年 / 5卷 / 01期
关键词：
Time scales; Calculus of variations; Euler-Lagrange equation; Transversality condition; Infinite horizon; OPTIMAL PROGRAMS; EXISTENCE; CALCULUS;
D O I：
10.1007/s11590-010-0189-7
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider problems of the calculus of variations on unbounded time scales. We prove the validity of the Euler-Lagrange equation on time scales for infinite horizon problems, and a new transversality condition.
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页码：41 / 53
页数：13
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