高阶线性微分方程解的空间属性

Spatial properties of linear higher order differential equations

考虑单位圆上的高阶线性微分方程f(k)+A k-1(z)f(k-1)+…+A1(z)f'+A o(z)f=0,当系数Aj(z),j=0,1,…,k-1满足一定条件时,此方程所有解f∈Bers logp,q,m空间。

The paper is devoted to the higher linear differential equation f（k）＋Ak-1（z）f（k-1）＋…＋A1（z）f＋A0（z）f=0.When coefficient Aj（z）,j=0,1,…,k-1 satisfies certain conditions, all solutions will belong toBersplog2,m space.