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| 书名： | Handbook of Integral Equations | |
|---|---|---|
| 作者： | Andrei D . Polyanin and Alexander V . Manzhirov | |
| 出版时间： | 2008-01-01 | |
| ISBN： | 9781584885078(P-ISBN) ，9780203881057(E-ISBN) | |
| 摘要： | ||
| 摘要： | ||
书目详情：
Some Remarks and NotationChapter 1. Linear Equations of the First Kind with Variable Limit of IntegrationChapter 2. Linear Equations of the Second Kind with Variable Limit of IntegrationChapter 3. Linear Equations of the First Kind with Constant Limits of IntegrationChapter 4. Linear Equations of the Second Kind with Constant Limits of IntegrationChapter 5. Nonlinear Equations of the First Kind with Variable Limit of IntegrationChapter 6. Nonlinear Equations of the Second Kind with Variable Limit of IntegrationChapter 7. Nonlinear Equations of the First Kind with Constant Limits of IntegrationChapter 8. Nonlinear Equations of the Second Kind with Constant Limits of IntegrationChapter 9. Main Definitions and Formulas. Integral TransformsChapter 10. Methods for Solving Linear Equations of the Form ∫xa K(x, t)y(t) dt = f(x)Chapter 11. Methods for Solving Linear Equations of the Form y(x) – ∫xa K(x, t)y(t) dt = f(x)Chapter 12. Methods for Solving Linear Equations of the Form ∫ba K(x, t)y(t) dt = f(x)Chapter 13. Methods for Solving Linear Equations of the Form y(x) – ∫ba K(x, t)y(t) dt = f(x)Chapter 14. Methods for Solving Singular Integral Equations of the First KindChapter 15. Methods for Solving Complete Singular Integral EquationsChapter 16. Methods for Solving Nonlinear Integral EquationsChapter 17. Methods for Solving Multidimensional Mixed Integral EquationsChapter 18. Application of Integral Equations for the Investigation of Differential EquationsSupplement 1. Elementary Functions and Their PropertiesSupplement 2. Finite Sums and Infinite SeriesSupplement 3. Tables of Indefinite IntegralsSupplement 4. Tables of Definite IntegralsSupplement 5. Tables of Laplace TransformsSupplement 6. Tables of Inverse Laplace TransformsSupplement 7. Tables of Fourier Cosine TransformsSupplement 8. Tables of Fourier Sine TransformsSupplement 9. Tables of Mellin TransformsSupplement 10. Tables of Inverse Mellin TransformsSupplement 11. Special Functions and Their PropertiesSupplement 12. Some Notions of Functional AnalysisReferences.
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