Lyapunov Functionals and Stability of Stochastic Functional Differential Equations - Softcover

Shaikhet, Leonid

 
9783319001029: Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

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Synopsis

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.

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Review

From the reviews:

 “This is a book entirely devoted to the stability of stochastic functional differential equations, including various stochastic delay differential equations. This book is well written by a true expert in the field. In addition to analysis, it contains many simulation results. This book should be beneficial to researchers both in mathematics and control areas and in various applied areas who need to use stability.” (Fuke Wu, Mathematical Reviews, January, 2014)

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Other Popular Editions of the Same Title

9783319001005: Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

Featured Edition

ISBN 10:  3319001000 ISBN 13:  9783319001005
Publisher: Springer, 2013
Hardcover