2013

Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

Authors:

ISBN: 978-3-319-00100-5 (Print) 978-3-319-00101-2 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages I-XII

  2. No Access

    Book Chapter

    Pages 1-28

    Short Introduction to Stability Theory of Deterministic Functional Differential Equations

  3. No Access

    Book Chapter

    Pages 29-52

    Stochastic Functional Differential Equations and Procedure of Constructing Lyapunov Functionals

  4. No Access

    Book Chapter

    Pages 53-96

    Stability of Linear Scalar Equations

  5. No Access

    Book Chapter

    Pages 97-111

    Stability of Linear Systems of Two Equations

  6. No Access

    Book Chapter

    Pages 113-152

    Stability of Systems with Nonlinearities

  7. No Access

    Book Chapter

    Pages 153-185

    Matrix Riccati Equations in Stability of Linear Stochastic Differential Equations with Delays

  8. No Access

    Book Chapter

    Pages 187-208

    Stochastic Systems with Markovian Switching

  9. No Access

    Book Chapter

    Pages 209-250

    Stabilization of the Controlled Inverted Pendulum by a Control with Delay

  10. No Access

    Book Chapter

    Pages 251-256

    Stability of Equilibrium Points of Nicholson’s Blowflies Equation with Stochastic Perturbations

  11. No Access

    Book Chapter

    Pages 257-282

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

  12. No Access

    Book Chapter

    Pages 283-296

    Stability of SIR Epidemic Model Equilibrium Points

  13. No Access

    Book Chapter

    Pages 297-323

    Stability of Some Social Mathematical Models with Delay Under Stochastic Perturbations

  14. Back Matter

    Pages 325-342