Ordinary Differential Equations – solutions to exercises (eBook)
Authors
Description
This eBook brings together the detailed solutions of most of the exercises in the textbook: Ordinary Differential Equations. With a focus on clarity and practicality, each exercise is presented in its entirety before its respective solution, which facilitates consultation and independent study.
The work is a valuable resource for students, teachers and researchers who wish to deepen their knowledge in Ordinary Differential Equations.
eBook available for free download
Target audience
Higher education
Name: Ordinary Differential Equations – solutions to exercises (eBook)
Author(s): Marcelo Viana e José M. Espinar
Pages: 241
Publication: IMPA, 2025
ISBN: 978-85-244-0576-1
Edition: 1
1 Introduction
2 Local solutions
3 Maximum solutions
4 Numerical integration
5 Autonomous equations
6 Autonomous linear equations
7 Non-autonomous linear equations
8 Lyapunov stability
9 Grobman–Hartman theorem
10 Stable Variety Theorem
11 Vector Fields on Surfaces
12 Poincaré–Hopf theorem
