The Hahn Quantum Variational Calculus

被引：58
作者：
Malinowska, A. B. [2 ]
Torres, D. 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：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2010年 / 147卷 / 03期
关键词：
Hahn's difference operator; Jackson-Norlund's integral; Quantum calculus; Calculus of variations; Leitmann's principle; Ramsey model; OPTIMIZATION; POLYNOMIALS; EXTENSIONS; FORMULAS; THEOREM;
D O I：
10.1007/s10957-010-9730-1
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 introduce the Hahn quantum variational calculus. Necessary and sufficient optimality conditions for the basic, isoperimetric, and Hahn quantum Lagrange problems, are studied. We also show the validity of Leitmann's direct method for the Hahn quantum variational calculus, and give explicit solutions to some concrete problems. To illustrate the results, we provide several examples and discuss a quantum version of the well known Ramsey model of economics.
引用
收藏
页码：419 / 442
页数：24
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