Basic global relative invariants for homogeneous linear differential equations / [electronic resource] Roger Chalkley.
Material type: TextSeries: Memoirs of the American Mathematical Society ; v. 744Publication details: Providence, R.I. : American Mathematical Society, 2002Description: 1 online resource (xi, 204 p. : ill.)ISBN: 9781470403379 (online)Subject(s): Differential equations, Linear | InvariantsAdditional physical formats: Basic global relative invariants for homogeneous linear differential equations /DDC classification: 510 s | 515/.354 LOC classification: QA3 | .A57 no. 744 | QA372Online resources: Contents | ContentsCurrent library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
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IMSc Library | IMSc Library | Link to resource | Available | EBK13197 |
"Volume 156, number 744 (end of volume)."
Includes bibliographical references (p. 197-199) and index.
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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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
Mode of access : World Wide Web
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