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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Yes, you can access Non-Linear Differential Equations by G. Sansone,R. Conti, I. N. Sneddon,M. Stark,S. Ulam in PDF and/or ePUB format, as well as other popular books in Mathematics & Differential Equations. We have over one million books available in our catalogue for you to explore.

Information

Publisher

Pergamon

Year

2016

ISBN

9781483135960

Topic

Mathematics

Subtopic

Differential Equations

Index

Mathematics

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