Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

1. Short Introduction to Stability Theory of Deterministic Functional Differential Equations
Leonid Shaikhet

2. Stochastic Functional Differential Equations and Procedure of Constructing Lyapunov Functionals
Leonid Shaikhet

3. Stability of Linear Scalar Equations
Leonid Shaikhet

4. Stability of Linear Systems of Two Equations
Leonid Shaikhet

5. Stability of Systems with Nonlinearities
Leonid Shaikhet

6. Matrix Riccati Equations in Stability of Linear Stochastic Differential Equations with Delays
Leonid Shaikhet

7. Stochastic Systems with Markovian Switching
Leonid Shaikhet

8. Stabilization of the Controlled Inverted Pendulum by a Control with Delay
Leonid Shaikhet

9. Stability of Equilibrium Points of Nicholson’s Blowflies Equation with Stochastic Perturbations
Leonid Shaikhet

10. Stability of Positive Equilibrium Point of Nonlinear System of Type of Predator–Prey with Aftereffect and Stochastic Perturbations
Leonid Shaikhet

11. Stability of SIR Epidemic Model Equilibrium Points
Leonid Shaikhet

12. Stability of Some Social Mathematical Models with Delay Under Stochastic Perturbations
Leonid Shaikhet

Keywords: Engineering, Control, Difference and Functional Equations, Statistical Physics, Dynamical Systems and Complexity, Calculus of Variations and Optimal Control, Optimization, Probability Theory and Stochastic Processes, Vibration, Dynamical Systems, Control