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Monotone Random Systems Theory and Applications [electronic resource] / by Igor Chueshov.

By: Contributor(s): Material type: TextTextSeries: Lecture Notes in Mathematics ; 1779Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2002Description: VIII, 240 p. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783540458159
Subject(s): Additional physical formats: Printed edition:: No titleDDC classification:
  • 519.2 23
LOC classification:
  • QA273.A1-274.9
  • QA274-274.9
Online resources:
Contents:
General Facts about Random Dynamical System -- Generation of Random Dynamical Systems -- Order-Preserving Random Dynamical Systems -- Sublinear Random Dynamical Systems -- Cooperative Random Differential Equations -- Cooperative Stochastic Differential Equations.
In: Springer eBooksSummary: The aim of this book is to present a recently developed approach suitable for investigating a variety of qualitative aspects of order-preserving random dynamical systems and to give the background for further development of the theory. The main objects considered are equilibria and attractors. The effectiveness of this approach is demonstrated by analysing the long-time behaviour of some classes of random and stochastic ordinary differential equations which arise in many applications.
Item type: E-BOOKS
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IMSc Library Link to resource Available EBK1343

General Facts about Random Dynamical System -- Generation of Random Dynamical Systems -- Order-Preserving Random Dynamical Systems -- Sublinear Random Dynamical Systems -- Cooperative Random Differential Equations -- Cooperative Stochastic Differential Equations.

The aim of this book is to present a recently developed approach suitable for investigating a variety of qualitative aspects of order-preserving random dynamical systems and to give the background for further development of the theory. The main objects considered are equilibria and attractors. The effectiveness of this approach is demonstrated by analysing the long-time behaviour of some classes of random and stochastic ordinary differential equations which arise in many applications.

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The Institute of Mathematical Sciences, Chennai, India