Nonlinear Differential Equations

✍ Scribed by Giovanni Sansone, R. Conti

• Publisher: Elsevier
• Year: 1964
• Tongue: English
• Leaves: 538
• Edition: Revised
• Category: Library

✦ Synopsis

Non-Linear Differential Equations covers the general theorems, principles, solutions, and applications of non-linear differential equations.

This book is divided into nine chapters. The first chapters contain detailed analysis of the phase portrait of two-dimensional autonomous systems. The succeeding chapters deal with the qualitative methods for the discovery of periodic solutions in periodic systems. The remaining chapters describe a synthetical approach to the study of asymptotic properties, especially stability properties, of the solutions of general n-dimensional systems.

This book will be of great value to mathematicians, researchers, and students.

✦ Table of Contents

Content:
Front Matter, Page iii
Copyright, Page iv
PREFACE, Page xiii
CHAPTER I - GENERAL THEOREMS ABOUT SOLUTIONS OF DIFFERENTIAL SYSTEMS, Pages 1-36
CHAPTER II - PARTICULAR PLANE AUTONOMOUS SYSTEMS, Pages 37-110
CHAPTER III - THE SINGULARITIES OF BRIOT–BOUQUET, Pages 111-140
CHAPTER IV - PLANE AUTONOMOUS SYSTEMS, Pages 141-209
CHAPTER V - AUTONOMOUS PLANE SYSTEMS WITH PERTURBATIONS, Pages 210-276
CHAPTER VI - ON SOME AUTONOMOUS SYSTEMS WITH ONE DEGREE OF FREEDOM, Pages 277-358
CHAPTER VII - NON-AUTONOMOUS SYSTEMS WITH ONE DEGREE OF FREEDOM, Pages 359-440
CHAPTER VIII - LINEAR SYSTEMS, Pages 441-475
CHAPTER IX - STABILITY, Pages 476-530
INDEX, Pages 531-533
OTHER TITLES IN THE SERIES IN PURE AND APPLIED MATHEMATICS, Pages 535-536