Relation Between Non-linear Systems and First-order ODEs; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle

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Taught by OCW
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Lesson Description:

Relation Between Non-linear Systems and First-order ODEs; Structural Stability of a System, Borderline Sketching Cases; Illustrations Using Volterra's Equation and Principle -- Lecture 33. A bunch of topics all shoved into one huge lecture.

Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 29, 2008). License: Creative Commons BY-NC-SA.
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Additional Resources:
Questions answered by this video:
  • What is the relation between non-linear systems and first-order ODEs?
  • What is the structural stability of a system?
  • What are borderline sketching cases?
  • What is Volterra's Equation?
  • What is Volterra's Principle?
  • Staff Review

    • Currently 4.0/5 Stars.
    This lecture is packed full of a lot of good topics. The relation between non-linear systems and first-order ODEs is explained. The structural stability of a system is explained, and examples of borderline sketching is done for several cases. Finally, there are several illustrations using Volterra’s Equation and Volterra’s Principle. A lot of big ideas are presented here.