Math 654    Spring 2007

Ordinary Differential Equations II



Instructor

Khalid Boushaba Assistant Professor of Mathematics
Office: 482 Carver Hall
Office Phone/Voice Mail: 294-8147
boushaba@iastate.edu
Office hours: MWF 10-12

Catalog Description

Math654, Ordinary Differential Equations. (3-0) Cr. 3. Prereq: Math 557. Continuation of Math 557. The initial-value problem, existence and uniqueness theorems, continuous dependence on parameters, linear systems, stability and asymptotic behavior of solutions, topics from dynamical systems and two-point boundary value problems.

List of References

  1. A first Course in the Qualitative Theory of Differential Equation, by James Hetao Liu, Prentice Hall, 2003
  2. Theory of Ordinary Differential Equations, by Earl Coddington and Norman Levinson, McGraw-Hill, 1955.
  3. Asymptotic Behavior and Stability Problems in Ordinary Differential Equations (2rd edition), by Lamberto Cesari, Springer, 1963.
  4. Ordinary Differential Equations, by Philip Hartman, John Wiley & Sons, 1964.
  5. The Qualitative Theory of Ordinary Differential Equations, An Introduction, by Fred Brauer and John Nohel, Dover, 1969.
  6. Ordinary Differential Equations, by Jack Hale, Wiley-Interscience, 1969.
  7. Applications of Centre Manifold Theory, by Jack Carr, Springer, 1981.
  8. Ordinary Differential Equations, by Richard Miller and Anthony Michel, Academic Press, 1982.
  9. Geometric Theory of Dynamical Systems, An Introduction, by Jacob Palis, Jr. and Welington de Melo, Springer, 1982.
  10. Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields, by John Guckenheimer and Philip Holmes, Springer, 1983.
  11. Nonlinear Ordinary Differential Equations, by Roger Grimshaw, Blackwell Scientific Publiching, 1990.
  12. Differential Equations, Introduction and Qualitative Theory (2nd. edition), by Jane Cronin, Dekker, 1994.
  13. Ordinary Differential Equations, by Wolfgang Walter, Springer, 1998.
  14. Ordinary Differential Equations with Applications, by Carmen Chicone, Springer, 1999.
  15. Basic Theory of Ordinary Differential Equations, by Po-Fang Hsieh and Yasutaka Sibuya, Springer, 1999.

 


Grading Policy

Course grades will be determined from student performance on homework assignments. There will be four to six homework assignments.


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Maintain by the instructor, last updated: January 08, 2007