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Solutions of ODEs and Their Properties

  • Addolorata Marasco
  • Antonio Romano
Part of the Modeling and Simulation in Science, Engineering and Technology book series (MSSET)

Abstract

In attempting to describe the complex reality around them, people resort tomodelsrepresenting simplified but useful mathematical descriptions of aspects related to many different fields of interest: physics, economies, bi­ology, and so on. It is very difficult to identify the main characteristics of a phenomenon, describe it in terms of mathematical variables, recognize the mathematical relations among these, and finally verify if the expectations of the model agree with the observations. Solving these difficult problems is the main goal of mathematical modeling of nature.

Keywords

Cauchy Problem Phase Portrait Autonomous System Lipschitz Condition Logistic Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Addolorata Marasco
    • 1
  • Antonio Romano
    • 1
  1. 1.Department of MathematicsUniversity of NaplesNaplesItaly

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