Cargando…
Lyapunov Functionals and Stability of Stochastic Functional Differential Equations
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2013.
|
| Edición: | 1st ed. 2013. |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-319-00101-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220116092754.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 130330s2013 sz | s |||| 0|eng d | ||
| 020 | |a 9783319001012 |9 978-3-319-00101-2 | ||
| 024 | 7 | |a 10.1007/978-3-319-00101-2 |2 doi | |
| 050 | 4 | |a TJ212-225 | |
| 072 | 7 | |a TJFM |2 bicssc | |
| 072 | 7 | |a GPFC |2 bicssc | |
| 072 | 7 | |a TEC004000 |2 bisacsh | |
| 072 | 7 | |a TJFM |2 thema | |
| 082 | 0 | 4 | |a 629.8312 |2 23 |
| 082 | 0 | 4 | |a 003 |2 23 |
| 100 | 1 | |a Shaikhet, Leonid. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Lyapunov Functionals and Stability of Stochastic Functional Differential Equations |h [electronic resource] / |c by Leonid Shaikhet. |
| 250 | |a 1st ed. 2013. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2013. | |
| 300 | |a XII, 342 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | |a 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 | |a 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. | ||
| 650 | 0 | |a Control engineering. | |
| 650 | 0 | |a Difference equations. | |
| 650 | 0 | |a Functional equations. | |
| 650 | 0 | |a System theory. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Calculus of variations. | |
| 650 | 0 | |a Probabilities. | |
| 650 | 0 | |a Multibody systems. | |
| 650 | 0 | |a Vibration. | |
| 650 | 0 | |a Mechanics, Applied. | |
| 650 | 1 | 4 | |a Control and Systems Theory. |
| 650 | 2 | 4 | |a Difference and Functional Equations. |
| 650 | 2 | 4 | |a Complex Systems. |
| 650 | 2 | 4 | |a Calculus of Variations and Optimization. |
| 650 | 2 | 4 | |a Probability Theory. |
| 650 | 2 | 4 | |a Multibody Systems and Mechanical Vibrations. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319001029 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319033525 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319001005 |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-00101-2 |z Texto Completo |
| 912 | |a ZDB-2-ENG | ||
| 912 | |a ZDB-2-SXE | ||
| 950 | |a Engineering (SpringerNature-11647) | ||
| 950 | |a Engineering (R0) (SpringerNature-43712) | ||