The Relationship Between Supply And Demand In Stock Markets And Differential Equations Of Stock Price

This thesis mainly concerns with the relationship among supply , demand and stock price in stock market. By establishing a more realistic mathematical model,we study essential relationship among supply , demand and stock price , and provide some theoretical basis for investors.Firstly, we introduce the historical background of the security market , especially stock market.In chapterⅡ,the simplest stock differential equation is introduced . By applying the qualitative theory of differential equation , we give this equation a detailed discussion . The obtained results are consistent with the exchange law of stock market.In chapterⅢ, we establish the differential equation with the expected stock price,which is more suitable for the stock market. The systematic analysis shows that : in the real stock market, the expected stock price influences directly on the stock changes volume and the stock price variety .In chapterⅣ, according to to Chinese we establish a mathematical model containing the policy factor based on the above model. Our study shows that: the mathematical model is satisfactory . Then, we study Chinese stock market ,and find the corresponding analysis and interpretation of the results that consistent current stock market.In chapterⅤ, the model with real examples , analyzing the results and the real stock market. We conclude that the mathematical models can be explain some phe-nomenons of the real stock market. Therefore , the model is feasible.