Second Noether's theorem with time delay

被引：3

作者：

Malinowska, Agnieszka B. ^{[1
]}

Odzijewicz, Tatiana ^{[2
]}

机构：

[1] Bialystok Tech Univ, Fac Comp Sci, Bialystok, Poland

[2] Warsaw Sch Econ, Dept Math & Math Econ, Warsaw, Poland

来源：

APPLICABLE ANALYSIS | 2017年 / 96卷 / 08期

关键词：

Time delay; Noether's theorem; calculus of variations; constant of motion; Euler-Lagrange equation; symmetries;

D O I：

10.1080/00036811.2016.1192136

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider variational problems with delayed argument. Simple proofs of the first and second Noether theorems are given. Applying our results to some concrete problems we obtain conservation laws for systems with delay.

引用

页码：1358 / 1378

页数：21

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