
Non-Linear Differential Equations
International Series of Monographs in Pure and Applied Mathematics
- 550 pages
- English
- PDF
- Available on iOS & Android
Non-Linear Differential Equations
International Series of Monographs in Pure and Applied Mathematics
About this book
International Series of Monographs in Pure and Applied Mathematics, Volume 67: Non-Linear Differential Equations, Revised Edition focuses on the analysis of the phase portrait of two-dimensional autonomous systems; qualitative methods used in finding periodic solutions in periodic systems; and study of asymptotic properties. The book first discusses general theorems about solutions of differential systems. Periodic solutions, autonomous systems, and integral curves are explained. The text explains the singularities of Briot-Bouquet theory. The selection takes a look at plane autonomous systems. Topics include limiting sets, plane cycles, isolated singular points, index, and the torus as phase space. The text also examines autonomous plane systems with perturbations and autonomous and non-autonomous systems with one degree of freedom. The book also tackles linear systems. Reducible systems, periodic solutions, and linear periodic systems are considered. The book is a vital source of information for readers interested in applied mathematics.
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Table of contents
- Front Cover
- Non-Linear Differential Equations
- Copyright Page
- Table of Contents
- PREFACE
- CHAPTER I. GENERAL THEOREMS ABOUT SOLUTIONS OF DIFFERENTIAL SYSTEMS
- CHAPTER II. PARTICULAR PLANE AUTONOMOUS SYSTEMS
- CHAPTER III. THE SINGULARITIES OF BRIOT-BOUQUET
- CHAPTER IV. PLANE AUTONOMOUS SYSTEMS
- CHAPTER V. AUTONOMOUS PLANE SYSTEMS WITH PERTURBATIONS
- CHAPTER VI. ON SOME AUTONOMOUS SYSTEMS WITH ONE DEGREE OF FREEDOM
- CHAPTER VII. NON-AUTONOMOUS SYSTEMS WITH ONE DEGREE OF FREEDOM
- CHAPTER VIII. LINEAR SYSTEMS
- CHAPTER IX. STABILITY
- INDEX
- OTHER TITLES IN THE SERIES IN PURE AND APPLIED MATHEMATICS