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03716nam a22004695i 4500 |
| 003 - CONTROL NUMBER IDENTIFIER |
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OSt |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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20140310143331.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION |
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cr nn 008mamaa |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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110601s2011 xxk| s |||| 0|eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780857296856 |
|
978-0-85729-685-6 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
629.8 |
| Edition number |
23 |
| 264 #1 - |
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| -- |
London : |
| -- |
Springer London, |
| -- |
2011. |
| 912 ## - |
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| -- |
ZDB-2-ENG |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Shaikhet, Leonid. |
| Relator term |
author. |
| 245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
|---|
| Title |
Lyapunov Functionals and Stability of Stochastic Difference Equations |
| Medium |
[electronic resource] / |
| Statement of responsibility, etc |
by Leonid Shaikhet. |
| 300 ## - PHYSICAL DESCRIPTION |
|---|
| Extent |
VI, 284p. 119 illus., 117 illus. in color. |
| Other physical details |
online resource. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Lyapunov-type Theorems and Procedure for Lyapunov Functional Construction -- Illustrative Example -- Linear Equations with Stationary Coefficients -- Linear Equations with Nonstationary Coefficients -- Some Peculiarities of the Method -- Systems of Linear Equations with Varying Delays -- Nonlinear Systems -- Volterra Equations of the Second Type -- Difference Equations with Continuous Time -- Difference Equations as Difference Analogues of Differential Equations. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc |
Hereditary systems (or systems with either delay or after-effects) are widely used to model processes in physics, mechanics, control, economics and biology. An important element in their study is their stability. Stability conditions for difference equations with delay can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Difference Equations describes the general method of Lyapunov functionals construction to investigate the stability of discrete- and continuous-time stochastic Volterra difference equations. The method allows the investigation of the degree to which the stability properties of differential equations are preserved in their difference analogues. The text is self-contained, beginning with basic definitions and the mathematical fundamentals of Lyapunov functionals construction and moving on from particular to general stability results for stochastic difference equations with constant coefficients. Results are then discussed for stochastic difference equations of linear, nonlinear, delayed, discrete and continuous types. Examples are drawn from a variety of physical and biological systems including inverted pendulum control, Nicholson's blowflies equation and predator-prey relationships. Lyapunov Functionals and Stability of Stochastic Difference Equations is primarily addressed to experts in stability theory but will also be of use in the work of pure and computational mathematicians and researchers using the ideas of optimal control to study economic, mechanical and biological systems. __________________________________________________________________________ |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name as entry element |
Engineering. |
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| Topical term or geographic name as entry element |
Functional equations. |
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| Topical term or geographic name as entry element |
Mathematical optimization. |
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| Topical term or geographic name as entry element |
Distribution (Probability theory). |
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| Topical term or geographic name as entry element |
Vibration. |
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| Topical term or geographic name as entry element |
Engineering. |
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| Topical term or geographic name as entry element |
Control. |
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| Topical term or geographic name as entry element |
Difference and Functional Equations. |
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| Topical term or geographic name as entry element |
Calculus of Variations and Optimal Control; Optimization. |
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| Topical term or geographic name as entry element |
Mathematical and Computational Biology. |
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| Topical term or geographic name as entry element |
Probability Theory and Stochastic Processes. |
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| Topical term or geographic name as entry element |
Vibration, Dynamical Systems, Control. |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
| 773 0# - HOST ITEM ENTRY |
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| Title |
Springer eBooks |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
|---|
| Display text |
Printed edition: |
| International Standard Book Number |
9780857296849 |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
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| Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-0-85729-685-6 |
| 942 ## - ADDED ENTRY ELEMENTS (KOHA) |
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| Source of classification or shelving scheme |
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| Item type |
E-Book |
