7/29/2019 AM9512B Outline

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AM9512: Delay Differential Equations with Applications

JanuaryApril 2013

Instructor: Xingfu Zou Email: xzou@uwo.caOffice: MC284 Phone: 88781Course Website: https://owl.uwo.ca Office Hours: by appointment.

Lectures: Mondays 9:00-10:30 and Thursdays 11:00-12:30, in room MC-204.

Contents: Possible topics include but are not limited to: Why DDEs some examples of DDEs; conceptsof functional differential equations; basic theory for retarded differential equations; properties of solutionsemiflows of DDEs; stability theory (Liapunov functional and Razumikhim-type theorems); linear systemsand characteristic equations; Hopf bifurcations in DDEs; monotone DDES; numeric simulations.

Text: No text book is specified but the following reference books may be of some use and help:

Jack Hale and Sjoerd Verduyn Lunel, Introduction to Functional-Differential Equations, AppliedMathematical Sciences, Vol. 99, Springer-Verlag, 1994.

Yang Kuang, Delay Differential Equations with Applications in Population Dynamics, AcademicPress, 1993.

Odo Diekmann, Stephan van Gils, Sjoerd Verduyn Lunel, Hans-Otto Walther, Delay Equations:Functional, Complex, and Nonlinear Analysis, Applied Mathematical Sciences, Vol. 110, Springer-Verlag, 1995.

H.L. Smith, Monotone dynamical systems. An introduction to the theory of competitive and coop-erative systems, vol 41. AMS, Providence, 1995.

Driver, R. D., Ordinary and delay differential equations. Applied Mathematical Sciences, Vol. 20.,Springer-Verlag, 1977.

Thomas Erneux, Applied Delay Differential Equations, Springer Science+Business Media, New York,2009.

Course Evaluation:

Assignments: 50%; Project: writing-up30%; presentation20% .

Addendum to all Applied Mathematics Course Outlines

The UWO Senate Academic Handbook has specied that the following points should be added to allcourse outlines:

1) Plagiarism: Students must write their essays and assignments in their own words. Whenever studentstake an idea, or a passage from another author, they must acknowledge their debt both by using quo-

tation marks where appropriate and by proper referencing such as footnotes or citations. Plagiarismis a major academic offence (see Scholastic Offence Policy in the Western Academic Calendar).

2) Plagiarism Checking: The University of Western Ontario uses software for plagiarism checking. Stu-dents may be required to submit their written work and programs in electronic form for plagiarismchecking.

3) Prerequisites for a course: Unless you have either the requisites for this course or written specialpermission from your Dean to enroll in it, you will be removed from this course and it will be deletedfrom your record. This decision may not be appealed. You will receive no adjustment to your feesin the event that you are dropped from a course for failing to have the necessary prerequisites.