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Lyapunov Functionals and Stability of Stochastic Functional Differential Equations || by Leonid Shaikhet (auth.) is a nonfiction available to read on EtoBox.

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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 dev

Who reads Lyapunov Functionals and Stability of Stochastic Functional Differential Equations ||?

Author

Leonid Shaikhet (auth.)

Publisher

Springer International Publishing; Imprint: Springer

Published

2013

Language

EN

ISBN

9783319001012

Category

nonfiction

Subjects

Engineering, Mathematics, Science