Description

Functional differential equations(FDE) course provides information pertinent to the fundamental aspects of functional differential equations and some of its applications. This course covers a variety of topics, including overview of problems involving FDEs, classification of FDEs, existence of solutions, linear systems and linearization, characteristic equation, stability analysis, Hopf bifurcation etc.

Prerequisites

Ordinary Differential Equations (Math 2260, Math 3161)
Introduction of Dynamical Systems (Math 3100)
Dynamical Systems (Math 6100)

Possible Textbook

• Hal Smith, An Introduction to Delay Differential Equations with Applications to the Life Sciences, Springer-Verlag, 2010.
• Jack Hale and Sjoerd Verduyn Lunel, Introduction to Functional-Differential Equations, Applied Mathematical Sciences, Vol. 99, Springer-Verlag, 1994.
• Yang Kuang, Delay Differential Equations with Applications in Population Dynamics, Academic Press, 1993.