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.
A IMPA Publishing House makes the book available free of charge, contributing to the democratization of access to scientific and educational knowledge.
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
