Applied Delay Differential Equations is a friendly introduction to the fast-growing field of time-delay differential equations. Written to a multi-disciplinary audience, it sets each area of science in his historical context and then guides the reader towards questions of current interest.
This accessible book offers a general introduction to delay differential equations. It is a revised version of a series of lectures given at the Universit? Libre de Bruxelles and then at the Universit? Joseph Fourier (Grenoble) during the spring of 2003.
Applied Delay Differential Equations is a friendly introduction to the fast-growing field of time-delay differential equations. Written to a multi-disciplinary audience, it sets each area of science in his historical context and then guides the reader towards questions of current interest.
Stability.- Biology.- Bernoullis 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 tlc)