非齐次线性微分方程解取小函数的点的收敛指数

The Convergence of Zeros of the Solution of Non-homogeneous Linear Differential Equations about Small Order of Growth Function

首次研究了非齐次高阶线性微分方程f(k) +Ak -1f(k -1) +… +A0 (f) =F解取小函数g的点的收敛指数问题 ,得到方程解的超级、解取小函数的超级及方程系数的级三者的关系 .

In this paper,we first of all investigate the problem of the convergence of zeros of the solution of non-homogeneous linear differential equation f (k) +A k-1 f (k-1) +...+A 0(f)=F to small order of growth function,obtained the relationship among the hyper-order of growth of the solution of equation,the hyper-order of growth of solution to small order of growth function and the order of growth of coefficient of equation.