Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
Language: English
Published by Springer International Publishing Mai 2013, 2013
- Hardcover
- New
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermanyBuchWeltWeit Ludwig Meier e.K.
AbeBooks seller since January 11, 2012
Condition: New
£ 94.88
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This item is printed on demand - it takes 3-4 days longer - 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. 356 pp. Englisch.…
Seller Inventory # 9783319001005
- Title
- Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
- Author
- Leonid Shaikhet
- Publisher
- Springer International Publishing Mai 2013
- Publication year
- 2013
- Condition
- Neu
- Binding
- Buch
- Language
- English
- ISBN 10
- 3319001000
- ISBN 13
- 9783319001005
- Item weight
- 699 grams
- Dimensions
- 241x160x24 mm
"Synopsis" may belong to another edition of this title.
From the Back Cover
The text begins with a description of the peculiarities of deterministic and stochastic functional differential equations. There follow basic definitions for stability theory of stochastic hereditary systems, and a 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.
"About the title" may belong to another edition of this title.
BuchWeltWeit Ludwig Meier e.K.
Bergisch Gladbach, Germany
AbeBooks seller since January 11, 2012
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