单位圆内非齐次线性微分方程的振荡解
Oscillatory Solutions of Nonhomogeneous Linear Differential Equation in the Unit Disc

研究了单位圆内高阶非齐次线性微分方程的振荡解,得到了方程f(k)+ak-1f(k-1)+…+a0f=F(a0,a1,…,ak-1,和F是单位圆内的亚纯函数)具有1个振荡解空间,其空间中所有解的零点收敛指数为∞,至多除去1个例外值.
The oscillatory solutions of higher-order nonhomogeneous linear differential equation in the unit disc are discussed.Results concerning the equation f+ak-1f+…+a0f=F(where a0,a1,…,ak-1and F are meromorphic functions in the unit disc),and possessing an oscillatory solution subspace in which all solutions(which at most one exception)have infinite exponent of convergence of zeros are obtained