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Basic global relative invariants for homogeneous linear differential equations


About this Title

Roger Chalkley

Publication: Memoirs of the American Mathematical Society
Publication Year 2002: Volume 156, Number 744
ISBNs: 978-0-8218-2781-9 (print); 978-1-4704-0337-9 (online)
DOI: http://dx.doi.org/10.1090/memo/0744
MathSciNet review: 1880800
MSC (2000): Primary 34A30; Secondary 12H20, 34A25, 34M99, 35G05

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Table of Contents


Chapters

  • 1. Introduction
  • 2. Some problems of historical importance
  • 3. Illustrations for some results in Chapters 1 and 2
  • 4. and as semi-invariants of the first kind
  • 5. and as semi-invariants of the second kind
  • 6. The coefficients of transformed equations
  • 7. Formulas that involve or
  • 8. Formulas that involve or
  • 9. Verification of and various observations
  • 10. The local constructions of earlier research
  • 11. Relations for , , and that yield equivalent formulas for basic relative invariants
  • 12. Real-valued functions of a real variable
  • 13. A constructive method for imposing conditions on Laguerre-Forsyth canonical forms
  • 14. Additional formulas for , , , , …
  • 15. Three canonical forms are now available
  • 16. Interesting problems that require further study