Qualitative Theory of Differential Equations

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Princeton University Press, 1960 - Differential equations - 523 pages
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Contents

EXISTENCE AND CONTINUITY THEOREMS
3
INTEGRAL CURVES OF A SYSTEM OF Two DIF
39
SYSTEMS OF n DIFFERENTIAL EQUATIONS THE
150
A STUDY OF NEIGHBORHOODS OF SINGULAR POINTS
207
BIBLIOGRAPHY TO PART ONE
270
INDEX TO PART ONE
301
GENERAL THEORY OF DYNAMICAL SYSTEMS
307
Metric spaces
308
Asymptotic trajectories
400
Completely unstable dynamica1 systems
404
Dynamical systems stable according to Lya punov
420
SYSTEMS WITH AN INTEGRAL INVARIANT
425
Measure of Caratheodory
433
Recurrence theorems
447
Theorems of E Hopf
454
G D Birkhoffs ergodic theorem
459

General properties and local structure of dy namica1 systems
327
co and alimit points
338
Stability according to Poisson
344
Regional recurrence Central motions
353
Minimal center of attraction
361
Minimal sets and recurrent motions
373
Almost periodic motions
384
Supplements to the ergodic theorem
469
Statistical ergodic theorems
472
Generalizations of the ergodic theorem
474
Invariant measures of an arbitrary dynamical system
486
BIBLIOGRAPHY TO PART Two
520
INDEX TO PART Two
523
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