| Content: In this thesis,we investigate the increase-order of solutions of linear differential equations and the problem on the nonconstant entire functions and linear differential polynomial.In chapter 2,we investigate the increase-order of solutions ofhigher order homogeneous linear differential equations withpolynomial Coefficients, we obtain the precise result.In chapter 3 , we investigate the problem on the nonconstant entire functions and linear differential polynomial where they have two public minifunctions,we obtain a relational expression. |