Short Introduction to Stability Theory of Deterministic Functional Differential Equations.- Stability of Linear Scalar Equations.- Stability of Linear Systems of Two Equations.- Stability of Systems with Nonlinearities.- Matrix Riccati Equations in Stability of Linear Stochastic Differential Equations with Delays.- Stochastic Systems with Markovian Switching.- Stabilization of the Controlled Inverted Pendulum by Control with Delay.- Stability of Equilibrium Points of Nicholson's Blowflies Equation with Stochastic Perturbations.- Stability of Positive Equilibrium Point of Nonlinear System of Type of Predator-Prey with Aftereffect and Stochastic Perturbations.- Stability of SIR Epidemic Model Equilibrium Points.- Stability of Some Social Mathematical Models with Delay by Stochastic Perturbations.