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

页码：323 / 344

页数：22

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