Through a rigorous mathematical analysis,it examines the dynamic changes of the growth rates of knowledge and capital,and finds the general conditions for the steady growth of the economic system.

The steady growth of grain production in Hunan is an important factor to ensure the food security of Hunan and China.

The growth theorem of a kind of spirallike mapping on bounded starlike circular domains;

In this paper, the authors obtain the parametric representation of starlike mappings on the unit ball Bn in Banach spaces; As a direct application, the growth theorem for starlike mappings is set up, which generalizes the corresponding results for starlike mappings on the unit ball in Cn .

In this paper, the authors obtain the growth theorem for a class of spirallike mappings on bounded balanced domains which contain the corresponding results for starlike mappings.

Based on analyzing the reason of software defect’s increase,the author propose the definition of self-increasing defect and non-self-increasing defect in this paper and also indicate that the increase of software defect is comprised of the determination increase and the non-determination increase.

The existence of the balanced growth solution for this model has been discussed by means of modern stochastic analysis and Markov process.