Handbook of Integral Equations

Polyanin Polyanin, Alexander V. Manzhirov

"This well-known handbook is now a standard reference. It contains over 2,500 integral equations with solutions, as well as analytical numerical methods for solving linear and non-linear equations . . . the number of equations described in an order of magnitude greater than in any other book available." – Jürgen Appell, in Zentralblatt Math, 2009

• Authors, Preface, Some Remarks and Notation, Part I. Exact Solutions of Integral Equations, 1. Linear Equations of the First Kind with Variable Limit of Integration, 2. Linear Equations of the Second Kind with Variable Limit of Integration, 3. Linear Equations of the First Kind with Constant Limits of Integration, 4. Linear Equations of the Second Kind with Constant Limits of Integration, 5. Nonlinear Equations of the First Kind with Variable Limit of Integration, 6. Nonlinear Equations of the Second Kind with Variable Limit of Integration, 7. Nonlinear Equations of the First Kind with Constant Limits of Integration, 8. Nonlinear Equations of the Second Kind with Constant Limits of Integration, Part II. Methods for Solving Integral Equations, 9. Main Definitions and Formulas. Integral Transforms, 10-13. Methods for Solving Linear Equations of the Form, 14. Methods for Solving Singular Integral Equations of the First Kind, 15. Methods for Solving Complete Singular Integral Equations, 16. Methods for Solving Nonlinear Integral Equations, 17. Methods for SolvingMultidimensional Mixed Integral Equations, 18. Application of Integral Equations for the Investigation of Differential Equations, Supplements, References, Index