摘要
着重研究二阶微分方程x··=a0 0 +a1 0 x+a0 1 x·+a2 0 x2 +a1 1 x·x·+a0 2 ·x·2 +… +aa0 xn+… +a0a(x·) n 借助于中介函数变换U(t) =U(t,x(t) ) ,将其解与一定的黎卡堤方程dudt=α0 +α1 u +α2 u2 发生关系 ,从而通过黎卡堤方程来研究二阶方程。
The paper lays emphasis on the relationship between the periodic solution of secondorder differential equation (that is X··=a 00 +a 10 X+a 01 X·+a 20 X 2+a 11 XX·+a 02 X· 2+...a a0 X n+a 0a (X·) n) and the Miromeko equation du/dt=α 0+α 1u+α 2u 2 by medi-functional transformation, using the equation to make a study of secondorder equation.
