Applied Delay Differential Equations

This accessible book offers a general introduction to delay differential equations. It is a revised version of a series of lectures given at the Université Libre de Bruxelles and then at the Université 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.

Accessible and general introduction to delay differential equations Encompasses a variety of applications Includes over 150 illustrations and many examples and exercises Includes supplementary material: sn.pub/extras

Texte du rabat

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.

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