Generalized transversality conditions for the Hahn quantum variational calculus

被引：29
作者：
Malinowska, Agnieszka B. [1 ]
Martins, Natalia [2 ]
机构：
[1] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland
[2] Univ Aveiro, Dept Math, P-3810193 Aveiro, Portugal
来源：
OPTIMIZATION | 2013年 / 62卷 / 03期
关键词：
Hahn's difference operator; Jackson-Norlund's integral; quantum calculus; calculus of variations; Euler-Lagrange equation; generalized natural boundary conditions; TIME SCALES; NABLA DERIVATIVES; POLYNOMIALS; POINTS;
D O I：
10.1080/02331934.2011.579967
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 prove optimality conditions for generalized quantum variational problems with a Lagrangian depending on the free end-points. Problems of calculus of variations of this type cannot be solved using the classical theory.
引用
收藏
页码：323 / 344
页数：22
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