数学季刊 ›› 1992, Vol. 7 ›› Issue (4): 20-25.

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Existence of Periodic Solutions About One Class Differential Equation

  



  1. Beijing Petrochemical Engineering Institute 102600

  • 收稿日期:1990-11-01 出版日期:1992-12-30 发布日期:2025-06-18

Existence of Periodic Solutions About One Class Differential Equation



  1. Beijing Petrochemical Engineering Institute 102600
  • Received:1990-11-01 Online:1992-12-30 Published:2025-06-18

摘要:  We discuss the existence and the number of periodic solutions of differential equation dx/dt=A1(t)x+A2(t)x2+A3(t)x3/a0(t)+a1(t)x+a2(t)x2 (1)where Ai(t), aj(t) (i=1,2,3;j=0,1,2) are continuous periodic functions. The results of this paper extend the work of paper [1].

关键词:  , periodic solution, strip domain, stability, transformation

Abstract:  We discuss the existence and the number of periodic solutions of differential equation dx/dt=A1(t)x+A2(t)x2+A3(t)x3/a0(t)+a1(t)x+a2(t)x2 (1)where Ai(t), aj(t) (i=1,2,3;j=0,1,2) are continuous periodic functions. The results of this paper extend the work of paper [1].

Key words:  , periodic solution, strip domain, stability, transformation