Ordinary Differential Equations

  • Brian Davies
Part of the Texts in Applied Mathematics book series (TAM, volume 41)


Linear differential equations with constant coefficients, and (to a lesser extent) with polynomial coefficients, are an important area of application of the Laplace transform.1 We consider mainly the constant coefficient case in this chapter, with an emphasis on systems of differential equations and their stability, questions of great interest in systems engineering and control theory. Bessel functions are treated in a short section as an example of an equation with polynomial coefficients. This topic is taken up in some detail in Chapter 18, in a somewhat more flexible framework.


Transfer Function Ordinary Differential Equation Block Diagram Polynomial Coefficient Minimal Realization 
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Copyright information

© Springer-Verlag New York, Inc. 2002

Authors and Affiliations

  • Brian Davies
    • 1
  1. 1.Mathematics Department, School of Mathematical SciencesAustralian National UniversityCanberraAustralia

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