Basic global relative invariants for homogeneous linear differential equations

Basic global relative invariants for homogeneous linear differential equations

by Chalkley, Roger

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Title Statements

  • Full title :Basic global relative invariants for homogeneous linear differential equations / Roger Chalkley.

Edition Statements

  • Publication Date:2002.

Publication Statements

Notes

"Volume 156, number 744 (end of volume)."

The Physical Object

  • Description:xi, 204 pages : : illustrations ; : 26 cm.

Edition Identifiers

  • ISBN:0821827812, 9780821827819
  • oclc:ocm48449662
  • LC Classification:QA3
  • Dewey Decimal:510 s

Table of Contents

1. Introduction -- 2. Some problems of historical importance -- 3. Illustrations for some results in Chapters 1 and 2 -- 4. L[subscript n] and I[subscript n, subscript i] as semi-invariants of the first kind -- 5. V[subscript n] and J[subscript n, subscript i] as semi-invariants of the second kind -- 6. The coefficients of transformed equations -- 7. Formulas that involve L[subscript n](z) or I[subscript n, subscript n](z) -- 8. Formulas that involve V[subscript n](z) or J[subscript n, subscript n](z) -- 9. Verification of I[subscript n, subscript n] = J[subscript n, subscript n] and various observations -- 10. The local constructions of earlier research -- 11. Relations for G[subscript i], H[subscript i], and L[subscript i] 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 K[subscript i, subscript j], U[subscript i, subscript j], A[subscript i, subscript j], D[subscript i, subscript j], ... -- 15. Three canonical forms are now available -- 16. Interesting problems that require further study

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