By focusing on ordinary differential equations that contain a small parameter, this concise graduate-level introduction to the theory of nonlinear oscillations provides a unified approach to obtaining
Based on a Brown University course in applied mathematics, this text is designed to prepare readers for the study of differential equations and to show them how to conduct effective literature searche
Textbook for undergraduate or beginning graduate students in mathematics, science, or engineering presents ideas and examples about the geometry of dynamics and bifurcations of ordinary differential a
Builds on an earlier work by J. Hale, Theory of Functional Differential Equations , 1977. Approximately one-third of the material is left intact. A completely new presentation of linear systems for r
This book presents an introduction to the geometric theory of infinite dimensional dynamical systems. Many of the fundamental results are presented for asymptotically smooth dynamical systems that hav