Skip to main content
  • Book
  • © 2016

Asymptotic Analysis for Functional Stochastic Differential Equations

  • Focuses on the long-term behavior and ergodicity of functional stochastic differential equations (FSDEs)
  • Written for researchers and graduate students in probability theory and stochastic analysis
  • Useful as a reference for applied mathematicians, engineers, and scientists who need to use FSDEs
  • Includes supplementary material: sn.pub/extras

Part of the book series: SpringerBriefs in Mathematics (BRIEFSMATH)

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

This is a preview of subscription content, log in via an institution to check for access.

Table of contents (5 chapters)

  1. Front Matter

    Pages i-xvi
  2. Ergodicity for Functional Stochastic Equations Under Dissipativity

    • Jianhai Bao, George Yin, Chenggui Yuan
    Pages 1-25
  3. Ergodicity for Functional Stochastic Equations Without Dissipativity

    • Jianhai Bao, George Yin, Chenggui Yuan
    Pages 27-54
  4. Convergence Rate of Euler–Maruyama Scheme for FSDEs

    • Jianhai Bao, George Yin, Chenggui Yuan
    Pages 55-75
  5. Large Deviations for FSDEs

    • Jianhai Bao, George Yin, Chenggui Yuan
    Pages 77-111
  6. Stochastic Interest Rate Models with Memory: Long-Term Behavior

    • Jianhai Bao, George Yin, Chenggui Yuan
    Pages 113-128
  7. Back Matter

    Pages 129-151

About this book

This brief treats dynamical systems that involve delays and random disturbances. The study is motivated by a wide variety of systems in real life in which random noise has to be taken into consideration and the effect of delays cannot be ignored. Concentrating on such systems that are described by functional stochastic differential equations, this work focuses on the study of large time behavior, in particular, ergodicity.
This brief is written for probabilists, applied mathematicians, engineers, and scientists who need to use delay systems and functional stochastic differential equations in their work. Selected topics from the brief can also be used in a graduate level topics course in probability and stochastic processes.


Authors and Affiliations

  • Department of Mathematics, Central South University, Changsha, China

    Jianhai Bao

  • Department of Mathematics, Wayne State University, Detroit, USA

    George Yin

  • Department Mathematics, Swansea University, Swansea, United Kingdom

    Chenggui Yuan

Bibliographic Information

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access