二阶非线性微分方程解的有界性

Bounded Solution of Nonlinear Equation of Common Two Orders

讨论(r(t)d(y(t))y′)′+h(t,y,y′)+a(t)f(y)+b(t)g(y)=0解的有界性,并给出了方程一切解有界或一切解是L^2-解的充分条件,所用方法不同于以往的V函数法,所得结论推广了前人的结论。

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