
Theory of Differential Equations with Unbounded Delay
von V. Lakshmikantham, Lizhi Wen und Binggen ZhangBecause the theory of equations with delay terms occurs in a  variety of contexts, it is important to provide a framework, whenever  possible, to handle as many cases as possible simultaneously so as to  bring out a better insight and understanding of the subtle differences  of the various equations with delays. Furthermore, such a unified  theory would avoid duplication and expose open questions that are  significant for future research. 
  It is in this spirit that the authors view the importance of their  monograph, which presents a systematic and unified theory of recent  developments of equations with unbounded delay, describes the current  state of the theory showing the essential unity achieved, and provides  a general structure applicable to a variety of problems. 
  It is the first book that: 
  (i) presents a unified framework to investigate the basic existence  theory for a variety of equations with delay; 
  (ii) treats the classification of equations with memory precisely so  as to bring out the subtle differences between them; 
  (iii) develops a systematic study of stability theory in terms of two  different measures which includes several known concepts; and 
  (iv) exhibits the advantages of employing Lyapunov functions on  product spaces as well as the method of perturbing Lyapunov functions.  
  This book will be of value to researchers and advanced graduate  students in mathematics, electrical engineering and biomathematics.  



