Lecture 1 (video-conference)

15 Abril 2020, 14:30 • Maria Teresa Faria da Paz Pereira

Presentation of the course and main references.
Delay differential equations (DDEs): motivation and examples; phase space and notation; similar aspects and main differences between ODEs and DDEs.

The method of steps.

The classical example of de equation x′(t) = −βx(t − r) (r > 0, β ∈ IR): solutions of exponential form and characteristic equation. Real characteristic roots; pure imaginary roots and complex roots with positive real part.

This lecture took place on Tuesday, April 21, from 17h to 19h.