
Differential Equations
An Introduction to Basic Concepts, Results and Applications
- 420 pages
- English
- PDF
- Available on iOS & Android
About this book
This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it contains simple introductions to some topics which are not usually included in classical textbooks: the exponential formula, conservation laws, generalized solutions, Caratheodory solutions, differential inclusions, variational inequalities, viability, invariance, gradient systems.
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Information
Table of contents
- Differential Equations: An Introduction to Basic Concepts, Results and Applications
- Contents
- Preface
- List of Symbols
- 1. Generalities
- 2. The Cauchy Problem
- 3. Approximation Methods
- 4. Systems of Linear Differential Equations
- 5. Elements of Stability
- 6. Prime Integrals
- 7. Extensions and Generalizations
- 8. Auxiliary Results
- Solutions
- Bibliography
- Index
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