# Basic Global Relative Invariants for Nonlinear Differential Equations

, by Chalkley, Roger**Note:**Supplemental materials are not guaranteed with Rental or Used book purchases.

- ISBN: 9780821839911 | 0821839918
- Cover: Paperback
- Copyright: 10/28/2007

Foundations for a General Theory: Introduction | |

The coefficients $c_{i,j}^{*}(z)$ of (1.3) | |

The coefficients $c_{i,j}^{**}(\zeta)$ of (1.5) | |

Isolated results needed for completeness | |

Composite transformations and reductions | |

Related Laguerre-Forsyth canonical forms | |

The Basic Relative Invariants for $Q_{m} = 0$ when $m\geq 2$: Formulas that involve $L_{i,j}(z)$ | |

Basic semi-invariants of the first kind for $m \geq 2$ | |

Formulas that involve $V_{i,j}(z)$ | |

Basic semi-invariants of the second kind for $m \geq 2$ | |

The existence of basic relative invariants | |

The uniqueness of basic relative invariants | |

Real-valued functions of a real variable | |

Supplementary Results: Relative invariants via basic ones for $m \geq 2$ | |

Results about $Q_{m}$ as a quadratic form Machine computations | |

The simplest of the Fano-type problems for (1.1) | |

Paul Appell's condition of solvability for $Q_{m} = 0$ | |

Appell's condition for $Q_{2} = 0$ and related topics | |

Rational semi-invariants and relative invariants | |

Generalizations for $H_{m, n} = 0$: Introduction to the equations $H_{m, n} = 0$ | |

Basic relative invariants for $H_{1,n} = 0$ when $n \geq 2$ | |

Laguerre-Forsyth forms for $H_{m, n} = 0$ when $m \geq 2$ | |

Formulas for basic relative invariants when $m \geq 2$ | |

Extensions of Chapter 7 to $H_{m,n} = 0$, when $m \geq 2$ | |

Extensions of Chapter 9 to $H_{m,n} = 0$, when $m \geq 2$ | |

Basic relative invariants for $H_{m, n} = 0$ when $m \geq2$ | |

Additional Classes of Equations: The class of equations specified by $y"(z)$$y'(z)$ | |

Formulations of greater generality | |

Invariants for simple equations unlike (29.1) | |

Bibliography | |

Index | |

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