Lyapunov Functionals and Stability of Stochastic Functional Differential Equations (Record no. 57732)
[ view plain ]
| 000 -LEADER | |
|---|---|
| fixed length control field | 04307nam a22005775i 4500 |
| 001 - CONTROL NUMBER | |
| control field | 978-3-319-00101-2 |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200421112227.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 130330s2013 gw | s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| ISBN | 9783319001012 |
| -- | 978-3-319-00101-2 |
| 082 04 - CLASSIFICATION NUMBER | |
| Call Number | 629.8 |
| 100 1# - AUTHOR NAME | |
| Author | Shaikhet, Leonid. |
| 245 10 - TITLE STATEMENT | |
| Title | Lyapunov Functionals and Stability of Stochastic Functional Differential Equations |
| 300 ## - PHYSICAL DESCRIPTION | |
| Number of Pages | XII, 342 p. |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Remark 2 | Short Introduction to Stability Theory of Deterministic Functional Differential Equations -- Stability of Linear Scalar Equations -- Stability of Linear Systems of Two Equations -- Stability of Systems with Nonlinearities -- Matrix Riccati Equations in Stability of Linear Stochastic Differential Equations with Delays -- Stochastic Systems with Markovian Switching -- Stabilization of the Controlled Inverted Pendulum by Control with Delay -- Stability of Equilibrium Points of Nicholson's Blowflies Equation with Stochastic Perturbations -- Stability of Positive Equilibrium Point of Nonlinear System of Type of Predator-Prey with Aftereffect and Stochastic Perturbations -- Stability of SIR Epidemic Model Equilibrium Points -- Stability of Some Social Mathematical Models with Delay by Stochastic Perturbations. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | 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 discrete- and continuous-time difference equations. 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. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | http://dx.doi.org/10.1007/978-3-319-00101-2 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
| Koha item type | eBooks |
| 264 #1 - | |
| -- | Heidelberg : |
| -- | Springer International Publishing : |
| -- | Imprint: Springer, |
| -- | 2013. |
| 336 ## - | |
| -- | text |
| -- | txt |
| -- | rdacontent |
| 337 ## - | |
| -- | computer |
| -- | c |
| -- | rdamedia |
| 338 ## - | |
| -- | online resource |
| -- | cr |
| -- | rdacarrier |
| 347 ## - | |
| -- | text file |
| -- | |
| -- | rda |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Difference equations. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Functional equations. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Calculus of variations. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Probabilities. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Statistical physics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Dynamical systems. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Vibration. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Dynamics. |
| 650 #0 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Control engineering. |
| 650 14 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Engineering. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Control. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Difference and Functional Equations. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Statistical Physics, Dynamical Systems and Complexity. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Calculus of Variations and Optimal Control; Optimization. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Probability Theory and Stochastic Processes. |
| 650 24 - SUBJECT ADDED ENTRY--SUBJECT 1 | |
| -- | Vibration, Dynamical Systems, Control. |
| 912 ## - | |
| -- | ZDB-2-ENG |
No items available.