Ordinary Differential Equations and Dynamical Systems (Graduate Studies in Mathematics) by Gerald Teschl
English | August 30, 2004 | ISBN: 0821883283 | 237 pages | PDF | 2 MB
This book provides a self-contained introduction to ordinary differential equations and dynamical systems suitable for beginning graduate students. The first part begins with some simple examples of explicitly solvable equations and a first glance at qualitative methods. Then the fundamental results concerning the initial value problem are proved: existence, uniqueness, extensibility, dependence on initial conditions.