Logo

Ordinary Differential Equations and Dynamical Systems

Small book cover: Ordinary Differential Equations and Dynamical Systems

Ordinary Differential Equations and Dynamical Systems
by

Publisher: Universitaet Wien
Number of pages: 297

Description:
This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem: existence, uniqueness, extensibility, dependence on initial conditions. Furthermore we consider linear equations, the Floquet theorem, and the autonomous linear flow.

Home page url

Download or read it online for free here:
Download link
(3MB, PDF)

Similar books

Book cover: Singularities of Transition Processes in Dynamical SystemsSingularities of Transition Processes in Dynamical Systems
by - American Mathematical Society
This monograph presents a systematic analysis of the singularities in the transition processes for dynamical systems. We study general dynamical systems, with dependence on a parameter, and construct relaxation times that depend on three variables.
(11199 views)
Book cover: Introduction to Dynamical Systems: A Hands-on Approach with MaximaIntroduction to Dynamical Systems: A Hands-on Approach with Maxima
by
In this book we explore some topics on dynamical systems, using an active teaching approach, supported by computing tools. The subject of this book on dynamical systems is at the borderline of physics, mathematics and computing.
(12578 views)
Book cover: Computable IntegrabilityComputable Integrability
by - arXiv
A preliminary version of the textbook on integrable systems. Contents: General notions and ideas; Riccati equation; Factorization of linear operators; Commutativity of linear operators; Integrability of non-linear PDEs; Burgers-type equations.
(11593 views)
Book cover: Introduction to the Theory of Infinite-Dimensional Dissipative SystemsIntroduction to the Theory of Infinite-Dimensional Dissipative Systems
by - ACTA
An introduction to infinite-dimensional dissipative dynamical systems. The book outlines a variety of tools applied in the study of nonlinear dynamical distributed systems. The results have applications to many areas of physics and engineering.
(13089 views)