Delay Differential Equations with Applications

What it is about

You will learn the theory and numerics of delay differential equations (in particular with constant delays). You can formulate models with delays, analyze their existence, uniqueness and stability properties, as well as apply suitable numerical procedures and interpret results.

What you will be able to do

• Understand how delay differential equations differ from ordinary differential equations
• Formulate models with discrete delays in physics, biology and mechanics
• Analyze existence and uniqueness of solutions
• Investigate differentiability and stability of solutions
• Apply numerical methods for the simulation of delay equations
• Familiarize with exemplary models from the literature

What the module consists of

• LecturePresentation of the content, demonstrative examples and discussions; includes short practical exercises to check learning progress

Teaching method

• Lecture with examples and discussionpresents the theoretical content and fosters understanding through exchange
• Short practical exercisesenable self-check of learning progress
• Literature referencesserve for in-depth, autonomous engagement with the topics