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Almost Periodic Stochastic Processes

  • Book
  • © 2011

Overview

Authors:
  1. Paul H. Bezandry

    1. , Department of Mathematics, Howard University, Washington, USA

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  2. Toka Diagana

    1. , Department of Mathematics, Howard University, Washington, USA

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  • This is the first book on almost periodic stochastic processes - The topics treated concern a wide audience including mathematicians, statisticians, engineers, and economists - Advanced graduate students with backgrounds in functional analysis and stochastic analysis may also find the material in this book useful

  • Includes supplementary material: sn.pub/extras

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xv
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  2. Banach and Hilbert Spaces

    • Paul H. Bezandry, Toka Diagana
    Pages 1-20

  3. Bounded and Unbounded Linear Operators

    • Paul H. Bezandry, Toka Diagana
    Pages 21-59

  4. An Introduction to Stochastic Differential Equations

    • Paul H. Bezandry, Toka Diagana
    Pages 61-115

  5. P-th Mean Almost Periodic Random Functions

    • Paul H. Bezandry, Toka Diagana
    Pages 117-127

  6. Existence Results for Some Stochastic Differential Equations

    • Paul H. Bezandry, Toka Diagana
    Pages 129-142

  7. Existence Results for Some Partial Stochastic Differential Equations

    • Paul H. Bezandry, Toka Diagana
    Pages 143-195

  8. Existence Results For Some Second-Order Stochastic Differential Equations

    • Paul H. Bezandry, Toka Diagana
    Pages 197-212

  9. Mean Almost Periodic Solutions to Some Stochastic Difference Equations

    • Paul H. Bezandry, Toka Diagana
    Pages 213-223

  10. Back Matter

    Pages 225-235
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Keywords

About this book

This book lays the foundations for a theory on almost periodic stochastic processes and their applications to various stochastic differential equations, functional differential equations with delay, partial differential equations, and difference equations. It is in part a sequel of authors recent work on almost periodic stochastic difference and differential equations and has the particularity to be the first book that is entirely devoted to almost periodic random processes and their applications. The topics treated in it range from existence, uniqueness, and stability of solutions for abstract stochastic difference and differential equations.

Reviews

"This book offers a large perspective on almost periodic processes and stochastic equations of various types." (Ciprian A. Tudor, Mathematical Reviews)

Authors and Affiliations

  • , Department of Mathematics, Howard University, Washington, USA

    Paul H. Bezandry, Toka Diagana

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