The book treats the theory of attractors for non-autonomous dynamical systems. The aim of the book is to give a coherent account of the current state of the theory, using the framework of processes to impose the minimum of restrictions on the nature of the non-autonomous dependence.
From the reviews:
“The Carvalho, Langa and Robinson monograph focuses primarily on infinite-dimensional systems and evolution equations. … The monograph is suitable for graduate students with a background on functional analysis and evolution equations. … Carvalho, Langa and Robinson present a readable and thorough account of the current state of the theory, which provides the reader with ready access to an area that has considerable potential for further development.” (Peter E. Kloeden, Mathematical Reviews, July, 2013)
“This monograph not only summarizes the research of the authors over the last decade, but also provides an accessible and well-written approach to the recent theory of non-autonomous dynamical systems in infinite dimensions with a focus on corresponding attractors and invariant manifolds. … This book is a well-written and carefully prepared text appropriate for advanced classes on dynamical systems and seminars.” (Christian Pötzsche, Zentralblatt MATH, Vol. 1263, 2013)