Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

Lingua: inglese

Editore: Springer, Springer Jun 2015, 2015

3319033522 / 9783319033525

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This item is printed on demand - Print on Demand Titel. Neuware -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.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 356 pp. Englisch.

Codice articolo 9783319033525

Titolo
Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
Autore
Leonid Shaikhet
Editore
Springer, Springer Jun 2015
Anno di pubblicazione
2015
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
3319033522
ISBN 13
9783319033525
Peso dell'articolo
540 grammi
Dimensioni
235x155x20 mm

buchversandmimpf2000

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