Random integral equations / A. T. Bharucha-Reid.

Format:

Book

Author/Creator:

Bharucha-Reid, A. T. (Albert T.)

Series:

Mathematics in science and engineering ; v. 96.

Mathematics in science and engineering ; v. 96

Language:

English

Subjects (All):

Stochastic integral equations.

Stochastic analysis.

Physical Description:

1 online resource (283 p.)

Place of Publication:

New York : Academic Press, 1972.

Language Note:

English

Summary:

Random integral equations

Contents:

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 TheoremsReferences; 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 Equations5.1 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 Side6.7 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

Notes:

Description based upon print version of record.

Includes bibliographies.

ISBN:

1-282-29009-6

9786612290091

0-08-095605-X

OCLC:

316568151