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Author Shaikhet, Leonid.
Title Lyapunov functionals and stability of stochastic functional differential equations [electronic resource] / Leonid Shaikhet.
Publication Info. Heidelberg ; New York : Springer, c2013.
Location Call No. Status Notes
 Libraries Electronic Books  ELECTRONIC BOOKS-DDA    AVAIL. ONLINE
Description 1 online resource.
Contents Short Introduction to Stability Theory of Deterministic Functional Differential Equations -- Stochastic Functional Differential Equations and Procedure of Constructing Lyapunov Functionals -- 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 a 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 Under Stochastic Perturbations.
Bibliography Includes bibliographical references and index.
Reproduction Electronic reproduction. Perth, W.A. Available via World Wide Web.
Subject Lyapunov functions.
Stochastic differential equations.
Engineering.
Functional equations.
Mathematical optimization.
Distribution (Probability theory).
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.
Added Author Ebooks Corporation
ISBN 9783319001012 (electronic bk.)
3319001019 (electronic bk.)
9783319001005
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