Cím: | Stability properties of the equilibrium under the influence of unbounded damping. |

Szerző: | Hatvani, L.; Terj\'eki, J. |

Forrás: | Acta Sci. Math. 48, 187-200 (1985). |

Nyelv: | English |

Absztrakt: | By Lyapunov's direct method and differential inequalities a theorem
is proved for general differential systems which guarantees the
stability of the zero solution with respect to a part of the
variables, the convergence of this part to a finite limit, and
the convergence to zero of the further variables along the solutions
as the time tends to infinity. This theorem is applied to get
conditions for the asymptotic stop of a dissipative mechanical
system. This property means that the generalized coordinates
have finite limits and the velocities tend to zero. The paper
is concluded by the example of the mathematical plain pendulum
with changing length. |

Letöltés: | | Zentralblatt |