Aula 6
10 Dezembro 2018, 15:30 • Maria Teresa Faria da Paz Pereira
Definition of global attractivity. Study of global attractivity and stability for some selected examples:
1. A monotone scalar semi-dynamical system with one discrete delay and negative feedback.
2. A general autonomous scalar DDE with a weaker negative feedback condition; application to a logistic delay equation.
3. Wright's equation (statement with the 3/2-condition on a parameter a, and proof only for the case a<=1); some considerations about the general proof and about Wright's conjecture, whose proof was finally published in 2018.
Statement of the LaSalle invariance principle for DDEs. Considerations about the use of Liapunov functionals to prove global attractivity of equilibria.
Apresentação de alguns temas para trabalho final.
(Esta aula foi leccionada em português, no dia 14/12/18, e teve a duração de 2h.)