Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (S1): 108-113.

Previous Articles     Next Articles

On Non-Oscillation and Asymptotic Behavior of the Solutions of a Class of Nonlinear Equation With Periodic Coefficients

Feng Zhaosheng1, Fei Shumin2   

  1. 1. Dept of Math. Northern Jiaotong Univ. Beijing 100044;
    2. Auto. Institute. Southeast Univ. Nanjing 210018
  • Received:1996-04-15 Revised:1996-10-11 Online:1997-12-26 Published:1997-12-26

Abstract:

In the paper, it is investigated the following nonlinear differential equation.with periodic coefficients
y'=Σi=0mAi(t)y' (m > 2,mN) (1)
Obtained a few theorens for non-oscillation and by the method of cross-ratio of solutions and the Brouwer fined point theorem and asymptotic of the solutions of equation (1).

Key words: differential equation, oscillation periodic solution, asymptotic property, fixed Point

Trendmd