Applied Delay Differential Equations

ISBN-13: 9780387743714 / Angielski / Miękka / 2009 / 204 str.

Thomas Erneux

Opis

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.

Recenzje

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)

Spis treści

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

Blurb

Delay differential equations have numerous applications in science and engineering. This short, expository book offers a stimulating collection of examples of delay differential equations which are in use as models for a variety of phenomena in the life sciences, physics and technology, chemistry and economics. Avoiding mathematical proofs but offering more than one hundred illustrations, this book illustrates how bifurcation and asymptotic techniques can systematically be used to extract analytical information of physical interest.

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.

Thomas Erneux was a professor in Applied Mathematics at Northwestern University from 1982 to 1993. He then joined the Department of Physics at the Université Libre de Bruxelles.