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  and establishes the theorem with less restricted conditions. Also, we apply the ressult to the work of Shimanov . Copyright © 1995 Fuzhou University.
|Journal||Annals of Differential Equations|
|Publication status||Published - 1995|