 | | 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: | | 10522 |
| In Russian (ΟΜΜ): | | 9723
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| In English (J. Appl. Math. Mech.): | | 799 |
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| A.M. Kovalev, "The construction of Lyapunov functions with sign-definite derivative for systems satisfying the Barbashin-Krasovskii theorem," J. Appl. Math. Mech. 72 (2), 164-168 (2008) |
| Year |
2008 |
Volume |
72 |
Issue |
2 |
Pages |
164-168 |
| Title |
The construction of Lyapunov functions with sign-definite derivative for systems satisfying the Barbashin-Krasovskii theorem |
| Author(s) |
A.M. Kovalev (Donetsk, Ukraine, kovalev@iamm.ac.donetsk.ua) |
| Abstract |
The asymptotic stability of the zero solution of autonomous systems of differential equations is considered. For systems satisfying the Barbashin-Krasovskii theorem positive-definite functions are constructed having a negative-definite derivative. The investigation is based on the method of invariant relations. |
| Received |
12 April 2007 |
| Link to Fulltext |
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