Systems of Ordinary Differential Equations

  • Mayer Humi
  • William Miller
Part of the Universitext book series (UTX)

Abstract

In this chapter we discuss systems of first order ordinary differential equations and methods for their solutions. The importance of such systems stems from the following observations:
  1. 1.

    A coupled system of differential equations of any order can always be rewritten as a system of first order equations.

     

Keywords

Convolution 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. 1.
    R. Bronson — Matrix Methods, Academic Press, 1970.Google Scholar
  2. 2.
    R. W. Brockett — Finite Dimensional Linear Systems, J. Wiley, 1970.Google Scholar
  3. 3.
    J. L. Casti — Dynamical Systems and Their Applications, Academic Press, 1977.Google Scholar
  4. 4.
    A. S. Deif — Advanced Matrix Theory for Scientists and Engineers, Abacus Press, 1982.Google Scholar
  5. 5.
    M. R. Spiegel — Applied Differential Equations, 3rd edition, Prentice Hall, 1981.Google Scholar
  6. 6.
    W. J. Palm, III — Modeling, Analysis and Control of Dynamical Systems, J. Wiley, 1983.Google Scholar
  7. 7.
    R. Haberman — Mathematical Models, Prentice Hall, 1977.Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1988

Authors and Affiliations

  • Mayer Humi
    • 1
  • William Miller
    • 1
  1. 1.Department of Mathematical SciencesWorcester Polytechnic InstituteWorcesterUSA

Personalised recommendations