Lyapunov Functionals and Stability of Stochastic Functional Differential Equations - Couverture rigide

Shaikhet, Leonid

Couverture rigide

ISBN 10 : 3319001000 ISBN 13 : 9783319001005

Editeur : Springer International Publishing AG, 2013

Synopsis

Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with delays. This work continues and complements the author's previous book Lyapunov Functionals and Stability of Stochastic Difference Equations, where this method is described for difference equations with discrete and continuous time. The text begins with both a description and a delineation of the peculiarities of deterministic and stochastic functional differential equations. There follows basic definitions for stability theory of stochastic hereditary systems, and the formal procedure of Lyapunov functionals construction is presented. Stability investigation is conducted for stochastic linear and nonlinear differential equations with constant and distributed delays. The proposed method is used for stability investigation of different mathematical models such as: - inverted controlled pendulum; - Nicholson's blowflies equation; - predator-prey relationships; - epidemic development; and - mathematical models that describe human behaviours related to addictions and obesity. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations is primarily addressed to experts in stability theory but will also be of interest to professionals and students in pure and computational mathematics, physics, engineering, medicine, and biology.

A propos du livre

Présentation de l'éditeur

This book offers a detailed description of Lyapunov functional construction. It features profuse analytical and numerical examples and demonstrates a method that can be usefully applied in economic, mechanical, biological and ecological systems.

Détails de l'édition

• Éditeur: Springer International Publishing AG
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 3319001000
• ISBN 13: 9783319001005
• Reliure: Relié
• Nombre de pages: 342
• Coordonnées du fabricant: non disponible
• Personne responsable: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Allemagne