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Random integral equations /
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Academic Press,
1972.
|
| Colección: | Mathematics in science and engineering ;
v. 96. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo Texto completo |
Tabla de Contenidos:
- 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. It�o Random Integral Equations; 7.1 Introduction; 7.2 It�o Random Integral Equations: Basic Theory; 7.3 It�o Random Integral Equations in Hilbert Spaces; 7.4 Some Additional Studies on It�o Equations and Their Applications; References; Author Index; Subject Index