Translator's Preface; The Monograph; Errors and Typos; The Translation; References and Index; Notation; Section 4 of Chapter 2, Theorem III; Notable Concepts; Acknowledgements; Bibliography; Author's Preface; Contents; Review; 1 General Properties of the Differential Equations; 1 Notations and Definitions; 2 Calculation of Limits; 3 Application of the Calculation of Limits to Partial Differential Equations; 4 Integration of Linear Equations with Periodic Coefficients; 2 Theory of Integral Invariants; 1 Various Properties of the Equations of Dynamics; 2 Definitions of Integral Invariants

3 Transformation of Integral Invariants4 Using Integral Invariants; 3 Theory of Periodic Solutions; 1 Existence of Periodic Solutions; 2 Characteristic Exponents; 3 Periodic Solutions of the Equations of Dynamics; 4 Calculation of the Characteristic Exponents; 5 Asymptotic Solutions; 6 Asymptotic Solutions of the Equations of Dynamics; Equations of Dynamics and the N-Body Problem; 4 Study of the Case with Only Two Degrees of Freedom; 1 Various Geometric Representations; 5 Study of the Asymptotic Surfaces; 1 Description of the Problem; 2 First Approximation; 3 Second Approximation

4 Third Approximation6 Various Results; 1 Periodic Solutions of the Second Kind; 2 Divergence of Lindstedt's Series; 3 Nonexistence of One-to-One Integrals; 7 Attempts at Generalization; 1 The N-Body Problem; Erratum; Bibliography; Author Index; Subject Index