The Growth of Solutions for a Class Higher Order Linear Differential Equations

By using the fundamental theory and method of Nevanlinna,the growth of solutions of the homogeneous linear differential equation f(k)+Ak-1fk-1+…+Af= 0and non-homogeneous linear differential equation was inves-tigated.Assuming some As(1 ≤s≤k-1) is entire functions with a finite deficient value,it was proved that every so-lution f■0 of the homogeneous differential equation has infinite order.Furthermore,the solutions f■0 of non-homogeneous linear differential equation have the same property except for an extra solution.