Non-Linear Differential Equations
- 1st Edition, Volume 67 - September 15, 2014
- Authors: G. Sansone, R. Conti
- Editors: I. N. Sneddon, M. Stark, S. Ulam
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 1 - 6 9 2 4 - 8
- eBook ISBN:9 7 8 - 1 - 4 8 3 1 - 8 5 0 5 - 7
Non-Linear Differential Equations covers the general theorems, principles, solutions, and applications of non-linear differential equations. This book is divided into nine… Read more
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.
Preface
Chapter I. General Theorems About Solutions of Differential Systems
1. Integral Curves
1. Integral Curves. Extreme Time in the Future t+
2. Conditions for t+ = b. The Case n = 1
3. Conditions for t+ = b. General Case
4. Boundedness of the Integral Curves
5. Integral Curves in the Sense of Carathéodory
2. Lipschitzian and Carathéodory Systems
1. Gronwall's Lemma (Generalized)
2. Lipschitzian Systems. Evaluation of
- Edition: 1
- Volume: 67
- Published: September 15, 2014
- Language: English
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