广义积分收敛隐含被积函数趋于零的条件及其应用

Application on the Condition that the Convergence of Generalized Integral Makes Integrand Tend to Zero

本文给出了由广义积分收敛得到了被积函数趋于零的条件；与Ｗ．Ｍ．Ｈｒｉｓｃｈ￣［２］等人导出的条件相比较明显减弱。并且本文利用证明的定理进一步研究了二阶常数分方程，获得了关于解收敛性的新结果。

In this paper,condition is found about that the convergence of generalized in-tegral makes integrand tend to zero,which is obviously weaker than that found bv W.M.Hirsch￣[2].And a new result is obtained about the convergence of the solution to sec-ond order ordinary differential equation.