A Differential Equations Analysis of Stock Prices

  • Georgios Katsouleas
  • Miltiadis Chalikias
  • Michalis Skordoulis
  • Georgios Sidiropoulos
Conference paper
Part of the Springer Proceedings in Business and Economics book series (SPBE)


Stock price analysis is one of the most important issues concerning investments and financial decision-making. Thus, stock price analysis and estimation models can be very useful in the estimation of a firm’s financial development. The aim of this paper is to propose a model of differential equations that will be able to be applied in the case of stock price analysis and estimation. The differential equations model will be based on Lanchester’s combat model, a mathematical theory of war. In the field of business, such operations research models have been used in cases such as competition analysis and resources allocation optimization. The case to be examined in this paper refers to the healthcare services index stocks of the Athens Stock Exchange. A 7 × 7 differential equations model was developed to analyze the examined firms’ stocks.


Stock price analysis Stock price estimation Differential equations Athens Stock Exchange Stock modeling 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Georgios Katsouleas
    • 1
  • Miltiadis Chalikias
    • 1
  • Michalis Skordoulis
    • 1
  • Georgios Sidiropoulos
    • 1
  1. 1.Department of Accounting and FinancePiraeus University of Applied SciencesEgaleoGreece

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