ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

Functional with Fixed Limits of Integration and Conservation Laws of Ordinary Differential Equations System

Author(s):

A. N. Kusyumov

Department of Aerohydrodynamics, Kazan State Technical University
Karl Marks Str. 10
420111 Kazan, Russia

kusyumov@agd.kai.ru

Abstract:

The functional is considered. The variables, included in a Lagrangian, will be transformed by an operation of continuous group of transformations, and an integration limits of the functional do not vary. The conditions of a functional invariance are determined. The connection of the functional invariance condition with a problem of conservation laws determination for a system of ordinary differential equations is considered.

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