二阶非线性微分方程解属于L^p[0,+∞)的判定

DETERMINE OF L p _SOLUTION OR L ∞_SOLUTION OF NONLINEAR EQUATION OF TWO ORDERS

讨论方程（ ｒ（ｔ）ｇ（ ｙ（ｔ）） ｙ′）１ ＋ ｃ（ｔ） ｆ（ ｙ） ｙ′＋ ａ（ｔ） ｂ（ｙ） ＝ ０ 解的有界性，给出了几个方程解属于 Ｌｐ［０ ，＋ ∞） 或有界的充分条件． 所用方法不同于以往的 Ｖ 函数法。

Many results have been obtained on the L 2_solution of nonlinear equation of two orders. In this paper, more common equation is discussed and the former results are extended.