Basic global relative invariants for homogeneous linear differential equations / Roger Chalkley.

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Bibliographic Details
Main Author:	Chalkley, Roger, 1931-
Format:	eBook
Language:	English
Published:	Providence, R.I. : American Mathematical Society, 2002.
Series:	Memoirs of the American Mathematical Society ; no. 744.
Subjects:	Differential equations, Linear. Invariants. Differential equations, Linear Invariants
Online Access:	Click for online access

Table of Contents:

1. Introduction 2. Some problems of historical importance 3. Illustrations for some results in Chapters 1 and 2 4. $L_n$ and $I_{n, i}$ as semi-invariants of the first kind 5. $V_n$ and $J_{n, i}$ as semi-invariants of the second kind 6. The coefficients of transformed equations 7. Formulas that involve $L_n(z)$ or $I_{n, n}(z)$ 8. Formulas that involve $V_n(z)$ or $J_{n, n}(z)$ 9. Verification of $I_{n, n} \equiv J_{n, n}$ and various observations 10. The local constructions of earlier research 11. Relations for $G_i$, $H_i$, and $L_i$ 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 $K_{i, j}$, $U_{i, j}$, $A_{i, j}$, $D_{i, j}$ ... 15. Three canonical forms are now available 16. Interesting problems that require further study.

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