Random Integral Equations
Published on 14. May 2014
283 pages
978-0-08-095605-3 (ISBN)
Description
Random Integral Equations
More details
Series
Language
English
Place of publication
San Diego
United States
ISBN-13
978-0-08-095605-3 (9780080956053)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
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Additional editions
A. T. Bharucha Reid
Random Integral Equations
Book
01/1972
Academic Press
€68.09
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Content
- Front Cover
- Random Integral Equations
- Copyright Page
- Contents
- Preface
- Acknowledgments
- Introduction
- References
- Chapter 1. Probability Theory in Banach Spaces: An Introductory Survey
- 1.1 Introduction
- 1.2 Banach Spaces
- 1.3 Banach Space-Valued Random Variables
- 1.4 Banach Space-Valued Random Functions
- 1.5 Probability Measures on Banach Spaces
- 1.6 Limit Theorems
- References
- Chapter 2. Operator-Valued Random Variables
- 2.1 Introduction
- 2.2 Operators on Banach Spaces
- 2.3 Random Operators
- 2.4 Spectral Theory of Random Operators
- 2.5 Operator-Valued Random Functions
- 2.6 Limit Theorems
- References
- Chapter 3. Random Equations: Basic Concepts and Methods of Solution
- 3.1 Introduction
- 3.2 Random Equations: Basic Concepts and Examples
- 3.3 The Solution of Random Equations
- 3.4 Some Measure-Theoretic and Statistical Problems Associated with Random Equations
- References
- Chapter 4. Random Linear Integral Equations
- 4.1 Introduction
- 4.2 Fredholm and Volterra Integral Equations with Random Forcing Functions
- 4.3 Fredholm and Volterra Integral Equations with Random Kernels
- 4.4 Some Random Linear Integral Equations Which Arise in Applied Problems
- References
- Chapter 5. Eigenvalue Problems for Random Fredholm Equations
- 5.1 Introduction
- 5.2 Fredholm Integral Equations with Random Degenerate Kernels
- 5.3 Fredholm Integral Equations with Random Symmetric Kernels
- References
- Chapter 6. Random Nonlinear Integral Equations
- 6.1 Introduction
- 6.2 Integral Equation Formulation of Some Random Nonlinear Differential Equations
- 6.3 A Nonlinear Integral Equation with Random Right-Hand Side
- 6.4 Nonlinear Integral Equations of Volterra Type with Random Kernels and Random Right-Hand Sides
- 6.5 Random Nonlinear Integral Equations of Uryson Type
- 6.6 A Measure-Theoretic Problem Associated with a Non- linear Integrodifferential Equation with Random Right-Hand Side
- 6.7 Some Random Nonlinear Integral Equations Which Arise in Applied Problems
- References
- Chapter 7. Itô Random Integral Equations
- 7.1 Introduction
- 7.2 Itô Random Integral Equations: Basic Theory
- 7.3 Itô Random Integral Equations in Hilbert Spaces
- 7.4 Some Additional Studies on Itô Equations and Their Applications
- References
- Author Index
- Subject Index
