Three types demand including emission line,transaction and investment of carbon emission right are expounded,and three endogenous variables including use value,use quantity and production technology and their influence on the firm demand of carbon emission right are analyzed.

In this paper,a production function with the endogenous variable as progress of science and technology is introduced,based on which an optimal control of inventory of science and technology is also obtained.

Based on the analysis of the factors of endogenous variable that affect the western industrialization of China, this paper attaches great importance to knowledge, technological progress and human resources so as to ensure long-term economic growth in western part of China.

A definition of inner variable to describle the crack-healing process is put forward.

An inner variable H is defined which describes the process of crack healing.

Research on the constitutive relation of geomaterials based on the theory of internal variable;

In the framework of visco-plastic constitutive theory without yield condition,some assumptions dealing with internal variables,internal stress and different potential hardening of material were used to develop new evolutionary equation of internal variables.

Taking plastic strain and non-local damage as internal variables,drawing in the dissipa-tion potential and applying the continuum damage mechanics and the second law of thermo-dynamics,a constitutional equation of non-local and non-elastic damage is established whichmakes it possible to describe allsidedly the constitutional behavior of material.

Due to this reason, population, environment and natura resources are changing into important internal variables from original external variables in economics analysis model.

The explanation is made through two variables: both the internal variable (pension system, family structure, and community structure) and the external variable (c.