The Property of Solutions of a Class of Higher Order Nonhomogeneous Linear Differential Equations

The growth of solutions for the equation $$f^{(k)}+A_{k-1}f^{(k-1)}+\cdots+A_df^{(d)}+\cdots+A_0f=F$$ is investigated,where $A_j(1,2,\cdots,k-1)$ are entire functions with finite order, $F$ is an entire function with infinite order. ~If the coefficients $A_d\; (0 \leq d \leq {k-1})$ satisfy some certain conditions,~the properties of solutions for this equation are obtained.