Double integral calculus of variations on time scales

被引：85

作者：

Bohner, Martin ^{[1
]}

Guseinov, Gusein Sh.

机构：

[1] Univ Missouri, Dept Math & Stat, Rolla, MO 65401 USA

[2] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2007年 / 54卷 / 01期

关键词：

time scales; partial delta derivatives; double delta integrals; Euler-Lagrange equation;

D O I：

10.1016/j.camwa.2006.10.032

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

We consider a version of the double integral calculus of variations on time scales, which includes as special cases the classical two-variable calculus of variations and the discrete two-variable calculus of variations. Necessary and sufficient conditions for a local extremum are established, among them an analogue of the Euler-Lagrange equation. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：45 / 57

页数：13

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