 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
|
| In English (J. Appl. Math. Mech.): | | 799 |
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| A.A. Burov and I.I. Kosenko, "The Lagrange differential-algebraic equations," J. Appl. Math. Mech. 78 (6), 587-598 (2014) |
| Year |
2014 |
Volume |
78 |
Issue |
6 |
Pages |
587-598 |
| Title |
The Lagrange differential-algebraic equations |
| Author(s) |
A.A. Burov (Moscow, Russia, jtm@narod.ru)
I.I. Kosenko (Moscow, Russia, kosenkoii@gmail.com) |
| Abstract |
The Lagrange equations are considered in the case when the Lagrangen function is independent of some of the velocities, and the properties of the differential-algebraic equations arising are studied. It is proved that, when non-degeneracy conditions are satisfied, the equations arising reduce to differential Lagrange equations of lower dimension. The problem of the planar oscillations of an elastic pendulum is considered as an example. |
| Received |
13 February 2014 |
| Link to Fulltext |
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