Mohlo by se vám také líbit

Více informací o knize Lyapunov Functionals and Stability of Stochastic Functional Differential Equations

• Parametry knihy
• Anotace
• Oblíbené z jiného soudku

Nákupem získáte 331 bodů

Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
• Autor: Leonid Shaikhet
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 342
• EAN: 9783319001005
• ISBN: 3319001000
• ID: 05266829
• Nakladatelství: Springer International Publishing AG
• Hmotnost: 7209 g
• Rozměry: 235 × 155 × 24 mm
• Datum vydání: 30. March 2013

Oblíbené z jiného soudku

---

---

---