Advertisement

Archive for Rational Mechanics and Analysis

, Volume 15, Issue 1, pp 79–86 | Cite as

Nonlinear vector integral equations as contraction mappings

  • D. Willett
Article

Keywords

Neural Network Integral Equation Complex System Nonlinear Dynamics Electromagnetism 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  1. [1]
    Coddington, E. A., & N. Levinson, Theory of Ordinary Differential Equations. Toronto: McGraw-Hill 1955.zbMATHGoogle Scholar
  2. [2]
    Erdélyi, A., A result on non-linear Volterra integral equations. Studies in Mathematical Analysis and Related Topics. Stanford University Press 1962.Google Scholar
  3. [3]
    Tricomi, F. G., Integral Equations. New York: Interscience 1957.zbMATHGoogle Scholar
  4. [4]
    Trjitzinsky, W. J., Singular non-linear integral equations. Duke Math. J. 11, 517–564 (1944).MathSciNetCrossRefGoogle Scholar
  5. [5]
    Willett, D. W., Solutions of Nonlinear Integral Equations and their Application to Singular Perturbation Problems. Ph. D. Thesis. California Institute of Technology, Pasadena, 1963.Google Scholar
  6. [6]
    Zaanen, A. C., An Introduction to the Theory of Integration. Amsterdam: North-Holland 1958.zbMATHGoogle Scholar
  7. [7]
    Zaanen, A. C., Linear Analysis. Amsterdam: North-Holland 1953.zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1964

Authors and Affiliations

  • D. Willett
    • 1
  1. 1.University of AlbertaEdmonton

Personalised recommendations