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


A. N. Kusyumov

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


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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