Hale J.K., Magalhaes L.T., Oliva W.M. Dynamics in Infinite Dimensions

Springer, 2002. - 293 pages.From the reviews of the second edition: "This book presents a contemporary geometric theory of infinite-dimensional dynamical systems where the major emphasis is on retarded functional-differential equations. … Each chapter contains some abstract theorems but the authors give some examples as well illustrating these general results and having interesting applications.