 | | 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
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| In English (J. Appl. Math. Mech.): | | 799 |
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| V.V. Kozlov, "Remarks on the degree of instability," J. Appl. Math. Mech. 74 (1), 10-12 (2010) |
| Year |
2010 |
Volume |
74 |
Issue |
1 |
Pages |
10-12 |
| Title |
Remarks on the degree of instability |
| Author(s) |
V.V. Kozlov (Moscow, Russia, kozlov@pran.ru) |
| Abstract |
Linear systems of differential equations allowing of functions in quadratic forms that do not increase along trajectories with time are considered. The relations between the indices of inertia of these forms and the degrees of instability of equilibrium states are indicated. These assertions generalize known results from the oscillation theory of linear systems with dissipation, and reveal the mechanism of loss of stability when non-increasing quadratic forms lose the property of a minimum. |
| Received |
20 January 2009 |
| Link to Fulltext |
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