03628nam 2200589 450 991081897070332120180731044357.01-4704-0337-4(CKB)3360000000464928(EBL)3114545(SSID)ssj0000910369(PQKBManifestationID)11595672(PQKBTitleCode)TC0000910369(PQKBWorkID)10932358(PQKB)11176554(MiAaPQ)EBC3114545(RPAM)12585662(PPN)195416309(EXLCZ)99336000000046492820011109h20022002 uy| 0engur|n|---|||||txtccrBasic global relative invariants for homogeneous linear differential equations /Roger ChalkleyProvidence, Rhode Island :American Mathematical Society,[2002]©20021 online resource (223 p.)Memoirs of the American Mathematical Society,0065-9266 ;number 744"Volume 156, number 744 (end of volume)."0-8218-2781-2 Includes bibliographical references (pages 197-199) and index.""Chapter 4. L[sub(n)] and I[sub(n,i)] as Semi-Invariants of the First Kind""""Chapter 5. V[sub(n)] and J[sub(n,i)] as Semi-Invariants of the Second Kind""; ""Chapter 6. The Coefficients of Transformed Equations""; ""6.1. Alternative formulas for c**[sub(i)](Ï?) in (1.5)""; ""6.2. The coefficients of a composite transformation""; ""6.3. Several examples""; ""6.4. Proof of an old observation""; ""6.5. Conditions for transformed equations""; ""6.6. Formulas for later reference""; ""Chapter 7. Formulas That Involve L[sub(n)](z) or I[sub(n,n)](z)""""7.1. The coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""""7.2. Derivatives for the coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""; ""7.3. Identities for the coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""; ""Chapter 8. Formulas That Involve V[sub(n)](z) or J[sub(n,n)](z)""; ""8.1. The coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""; ""8.2. Derivatives for the coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""""8.3. Identities for the coefficients of (6.8) when d[sub(1)](Ï?) â?¡ d[sub(2)]((Ï?) â?¡ 0""""Chapter 9. Verification of I[sub(n,n)] â?¡ J[sub(n,n)]and Various Observations""; ""9.1. Proof for the first part of the Main Theorem in Chapter 1""; ""9.2. Global sets""; ""9.3. A fourth type of invariant: an absolute invariant""; ""9.4. Laguerre-Forsyth canonical forms""; ""Chapter 10. The Local Constructions of Earlier Research""; ""10.1. Standard techniques""; ""10.2. An improved computational procedure""; ""10.3. Hindrances to earlier research""""Chapter 11. Relations for G[sub(i)], H[sub(i)], and L[sub(i)] That Yield Equivalent Formulas for Basic Relative Invariants""Memoirs of the American Mathematical Society ;no. 744.Differential equations, LinearInvariantsDifferential equations, Linear.Invariants.510 s515/.354Chalkley Roger1931-1653336MiAaPQMiAaPQMiAaPQBOOK9910818970703321Basic global relative invariants for homogeneous linear differential equations4004604UNINA