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 chapterâ…¡,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 chapterâ…¢, 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 chapterâ…£, 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 chapterâ…¤, 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.