Limit Process Expansions Applied to Ordinary Differential Equations

  • J. Kevorkian
  • J. D. Cole
Part of the Applied Mathematical Sciences book series (AMS, volume 34)


In this chapter a series of simple examples are considered, some model and some physical, in order to demonstrate the application of various techniques concerning limit process expansions. In general we expect analytic dependence of the exact solution on the small parameter ε, but one of the main tasks in the various problems is to discover the nature of this dependence by working with suitable approximate differential equations. Another problem is to systematize as much as possible the procedures for discovering these expansions.


Ordinary Differential Equation Asymptotic Expansion Relaxation Oscillation Linear Oscillator Outer Solution 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1981

Authors and Affiliations

  • J. Kevorkian
    • 1
  • J. D. Cole
    • 2
  1. 1.Applied Mathematics ProgramUniversity of WashingtonSeattleUSA
  2. 2.Department of Mathematical SciencesRensselaer Polytechnic InstituteTroyUSA

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