Differential Equations 1n Celestial Mechanics
- Form of the Integrals of Planetary Theory
- THEORIES OF NEWCOMB AND LINDSTEDT**
- POINCARE’S THEORY
- POINCARE’s TRANSFORMATION
- VESSIOT’S TRANSFORMATION
- BOHLIN’S THEORY
- POINCARE.’s FORMULATION OF LINDSTEDT’s THEORY***
- WHITTAKER’S THEORY
- WHITTAKER’S TRANSFORMATION
- ADELPHIC INTEGRAL
- THE THIRD INTEGRAL
- INTEGRALS DEVELOPABLE ABOUT A SINGULAR POINT
- ALMOST PERIODIC DIFFERENTIAL EQUATIONS
- INTEGRAL OF A QUASI-PERIODI FUNCTION
- SECULAR CONSTANT
Problem of Uniform Convergence
- BOREL SERIES AND LIOUVILLE NUMBERS
- BOREL SERIES
- CLASS OF BAIRE
- THE QUESTION OF GYLDEN’S PROBABILITY THEOREM
- REFINEMENT BY PETERSSON AND WINTNER
- PETERSSON’ S REFINEMENT
- WINTNER’S DISCUSSION BASED ON THE THEORY OF ALMOST PERIODIC FUNCTIONS
- TRIGONOMETRIC SERIES
- TRIGONOMETRIC SERIES
- SOLUTION BY TRIGONOMETRIC SERIES
- ELEVATION OF THE DEGREE OF FORMAL CONVERGENCE
- GROUPING OF TERMS
- DIVERGENCE OF BOHLIN’S SERIES
- DIVERGENCE OF LINDSTEDT’ S SERIES
- DIVERGENCE OF BOHLIN’S SERIES
- MECHANISM OF DIVERGENCE OF BOHLIN’ S SERIES
- ASYMPTOTIC INTEGRALS OF LITTLEWOOD
- LITTLEWOOD’S THEOREMS
- PROOF OF THE FUNDAMENTAL THEOREM
- Stability Problem
- LIAPOUNOV STABILITY
- DEFINITION OF STABILITY
- CHARACTERISTIC NUMBERS
- LIAPOUNov’s DIRECT METHOD
- CONVERSE OF LIAPOUNOv’s THEOREMS
- LIAPOUNOV STABILITY
- MOTION NEAR AN EQUILIBRIUM POINT
- BOHL’S THEOREMS
- ASYMPTOTIC SOLUTIONS
- PERRON’S STABILITY CRITERION
- PERRON’S STABILITY CRITERION
- KINEMATIC SIMILARITY
- TOPOLOGY OF THE ST ABILITY DOMAIN
- LINEAR OPERATORS
- STRONG STABlLITY
- STABILITY IN ABSTRACT SPACE
- APPLICATION TO CONTROLS
- STABILITY OF RIGID·BODY ROTATION