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The stability problem of equilibrium for a generalized Birkhoffian system is studied. The equations of equilibrium for the autonomous generalized Birkhoffian system are established. The equations of first approximation of the system are given, and the criterion of stability for equilibrium state of the system is established by using the Liapunovs first approximation theory. The Liapunovs function is constructed, and the criterion of stability for equilibrium state of the system is established by using the Liapunovs direct method. Some examples are given to illustrate the application of the results.
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Keywords:
- generalized Birkhoffian system /
- stability of equilibrium /
- first approximation method /
- direct method
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