FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 1, PAGES 285-288

Necessary conditions in the inverse variational problem

Yu. F. Pastukhov

Abstract

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In the paper the inverse variational problem in stratified speed spaces of arbitrary order is invariantly formulated, Lagrange cut is defined, and an analytic reformulation of the problem is given. We give a necessary condition of a system of ODE of even order not less than 4 to be a Lagrangian system.

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Last modified: May 10, 2001