Lecture 4

27 Novembro 2017, 15:30 • Maria Teresa Faria da Paz Pereira

Theorem of existence and uniqueness of solutions and consequences (cont): continuous dependence of solutions relative to initial conditions; continuation of solutions (for the future).

Definitions of stabilities (according to Lyapunov). Equilibria.

Linear autonomous DDEs; characteristic equation; properties of the roots of the characteristic equation; location of the roots and result on stability for linear DDEs (proof postponed). Linearisation about equilibria and principle of linearised stability for hyperbolic equilibria.

(This class took place on Wednesday Nov. 29, 2017, from 18h30 to 20h.)