Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (4): 385-392.

• Articles • Previous Articles    

RESEARCH OF THE PERIODIC SOLUTION FOR A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS

Jin Jun   

  1. Shanghai Teachers University, Shanghai 200234, P. R. China
  • Received:1995-02-22 Online:1996-04-18 Published:1996-04-18

Abstract: In this paper,we study the existence,uniqueness and asymptotic stabgility of the periodic solution for a class of the most,universal fourth-order nonlinear nonautonomous periodic systems.We give the relevant Liapunov function by using the method of analogical slowly changing coefficients.We also give a considerably accurate estimation of the slowly changing coefficients and obtain the sufficient conditions which guarantee the existence,uniqueness and asymptotic Stability of the periodci solutions.

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