3 Volterra Integral Equations

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线性与非线性积分方程:方法及应用作者：Abdul-Majid Wazwaz　　 ISBN：978-7-04-031694-0　出版时间：2011-06-20

全书目录
本章目录

内封

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目录

front matter

Part I hspace betweenumberspace Linear Integral Equations

1 Preliminaries

2 Introductory Concepts of Integral Equations

3 Volterra Integral Equations

4 Fredholm Integral Equations

5 Volterra Integro-Differential Equations

6 Fredholm Integro-Differential Equations

7 Abel's Integral Equation and Singular Integral Equations

8 Volterra-Fredholm Integral Equations

9 Volterra-Fredholm Integro-Differential Equations

10 Systems of Volterra Integral Equations

11 Systems of Fredholm Integral Equations

12 Systems of Singular Integral Equations

Part IIhspace betweenumberspace Nonlinear Integral Equations

13 Nonlinear Volterra Integral Equations

14 Nonlinear Volterra Integro-Differential Equations

15 Nonlinear Fredholm Integral Equations

16 Nonlinear Fredholm Integro-Differential Equations

17 Nonlinear Singular Integral Equations

18 Applications of Integral Equations

Appendix A hspace*18mm Table of Indefinite Integrals

Appendix B hspace*18mm Integrals Involving Irrational Algebraic hspace*18mm Functions

Appendix C hspace*18mm Series Representations

Appendix D hspace*18mm The Error and the Complementary Error Functions

Appendix E hspace*18mm Gamma Function

Appendix F hspace*18mm Infinite Series

Appendix G hspace*18mm The Fresnel Integrals

Answers

Index
- 3.1 Introduction
- 3.2 Volterra Integral Equations of the Second Kind
- 3.2.1 The Adomian Decomposition Method
- 3.2.2 The Modified Decomposition Method
- 3.2.3 The Noise Terms Phenomenon
- 3.2.4 The Variational Iteration Method
- 3.2.5 The Successive Approximations Method
- 3.2.6 The Laplace Transform Method
- 3.2.7 The Series Solution Method
- 3.3 Volterra Integral Equations of the First Kind
- 3.3.1 The Series Solution Method
- 3.3.2 The Laplace Transform Method
- 3.3.3 Conversion to a Volterra Equation of the Second Kind
- References

3 Volterra Integral Equations

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