From the reviews: "This book is devoted to the theory and applications of time-delay differential equations, which is currently among the fastest-growing and most important areas of research. ... This book is written in a language suitable for undergraduate and graduate students who have calculus and differential equations courses in their background. It is an excellent guide book for mathematicians ... as well as for multi-disciplinary scientists who apply mathematics to describe real-life phenomena in their research. ... used as a reference book on delay differential equations." (Natali Hritonenko, Mathematical Reviews, Issue 2009 m) "Thomas Erneux has written an outstanding book that brings a refreshing approach to the subject, an approach utilizing asymptotic and bifurcation techniques that are accessible to a wide scientific audience. ... book could be used in a course on DDEs at the advance undergraduate or graduate level ... . I highly recommend the book to students and researchers ... . Applied Delay Differential Equations is highly accessible and the mathematical techniques presented are sufficient to extract valuable insights into DDEs and their applications." (Steven M. Baer, SIAM Reviews, Vol. 53 (2), 2011)

• Stability.- Biology.- Bernoulli’s equation.- Chemistry.- Mechanical vibrations.- Lasers.- Phase equations.

From the reviews: "This book is devoted to the theory and applications of time-delay differential equations, which is currently among the fastest-growing and most important areas of research. ... This book is written in a language suitable for undergraduate and graduate students who have calculus and differential equations courses in their background. It is an excellent guide book for mathematicians ... as well as for multi-disciplinary scientists who apply mathematics to describe real-life phenomena in their research. ... used as a reference book on delay differential equations." (Natali Hritonenko, Mathematical Reviews, Issue 2009 m) "Thomas Erneux has written an outstanding book that brings a refreshing approach to the subject, an approach utilizing asymptotic and bifurcation techniques that are accessible to a wide scientific audience. ... book could be used in a course on DDEs at the advance undergraduate or graduate level ... . I highly recommend the book to students and researchers ... . Applied Delay Differential Equations is highly accessible and the mathematical techniques presented are sufficient to extract valuable insights into DDEs and their applications." (Steven M. Baer, SIAM Reviews, Vol. 53 (2), 2011)

• Stability.- Biology.- Bernoulli’s equation.- Chemistry.- Mechanical vibrations.- Lasers.- Phase equations.