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Asymptotic behavior of solutions of differential-difference equations.

About this Title

Richard Bellman and Kenneth L. Cooke

Publication: Memoirs of the American Mathematical Society
Publication Year: 1959; Number 35
ISBNs: 978-0-8218-1235-8 (print); 978-0-8218-9978-6 (online)
DOI: https://doi.org/10.1090/memo/0035
MathSciNet review: 0111917

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Differential-difference equations with constant coefficients
  • 3. Principal root real and simple
  • 4. Principal root real and simple (continued)
  • 5. Asymptotic expansions
  • 6. Other real, simple roots
  • 7. Complex roots of multiplicity one
  • 8. Multiple characteristic roots
  • 9. The Liouville transformation in general
  • 10. Multiple roots of differential-difference equations: principal root
  • 11. Proof of theorem on multiple principal root
  • 12. Other multiple roots
  • 13. More general functional equations
  • 14. Functional differential equations
  • 15. Asymptotically autonomous functional differential equations
  • 16. Variable lags and a new space