### Abstract

The stability of the solution of an n-th order equation is studied. By using a theorem of E. A. Barbashin and N. N. Krasovskii and the construction of a V function, the solutions of the equation are found either to tend to equilibrium or to have unbounded positive semi-orbit. The result simplifies the proof of a Theorem due to Anderson [1] and establishes the theorem with less restricted conditions. Also, we apply the ressult to the work of Shimanov [8]. Copyright © 1995 Fuzhou University.

Original language | English |
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Pages (from-to) | 504-514 |

Journal | Annals of Differential Equations |

Volume | 11 |

Issue number | 4 |

Publication status | Published - 1995 |

### Fingerprint

Nonexistence

Periodic Solution

Differential equation

Theorem

Simplify

Orbit

Tend

Class