Monotone Random Systems Theory and Applications

• Main Author: Chueshov, Igor (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2002.
• Edition: 1st ed. 2002.
• Series: Lecture Notes in Mathematics, 1779
• Subjects: Probabilities.; Dynamics.; Ergodic theory.; Probability Theory and Stochastic Processes.; Dynamical Systems and Ergodic Theory.
• Physical Description: VIII, 240 p. online resource.
• ISBN: 9783540458159
• ISSN: 0075-8434 ;
• DOI: 10.1007/b83277

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.