Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

Nonfiction, Science & Nature, Technology, Automation, Mathematics, Mathematical Analysis
Cover of the book Lyapunov Functionals and Stability of Stochastic Functional Differential Equations by Leonid Shaikhet, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Leonid Shaikhet ISBN: 9783319001012
Publisher: Springer International Publishing Publication: March 29, 2013
Imprint: Springer Language: English
Author: Leonid Shaikhet
ISBN: 9783319001012
Publisher: Springer International Publishing
Publication: March 29, 2013
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Obstetrics in Family Medicine by Leonid Shaikhet
Cover of the book Genetic Programming Theory and Practice XVI by Leonid Shaikhet
Cover of the book A Primer on Hilbert Space Theory by Leonid Shaikhet
Cover of the book Romantic Literature and the Colonised World by Leonid Shaikhet
Cover of the book Offshore Energy Structures by Leonid Shaikhet
Cover of the book The European Roots of the Eurozone Crisis by Leonid Shaikhet
Cover of the book The Basal Ganglia by Leonid Shaikhet
Cover of the book Quantum Physics and Geometry by Leonid Shaikhet
Cover of the book Comprehensive Healthcare Simulation: Pediatrics by Leonid Shaikhet
Cover of the book Groups and Markets by Leonid Shaikhet
Cover of the book The First Decade of Living with the Global Crisis by Leonid Shaikhet
Cover of the book Control and Decision Strategies in Wastewater Treatment Plants for Operation Improvement by Leonid Shaikhet
Cover of the book Electromagnetic Foundations of Solar Radiation Collection by Leonid Shaikhet
Cover of the book Transformative Perspectives and Processes in Higher Education by Leonid Shaikhet
Cover of the book An Introduction to Differential Manifolds by Leonid Shaikhet
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy