# Handbook of Integral Equations

###### Andrei D. Polyanin and Alexander V. Manzhirov
Publisher:
Chapman & Hall/CRC
Publication Date:
2008
Number of Pages:
1108
Format:
Hardcover
Edition:
2
Price:
129.95
ISBN:
9781584885078
Category:
Handbook
We do not plan to review this book.

EXACT SOLUTIONS OF INTEGRAL EQUATIONS
Linear Equations of the First Kind with Variable Limit of Integration
Linear Equations of the Second Kind with Variable Limit of Integration
Linear Equations of the First Kind with Constant Limits of Integration
Linear Equations of the Second Kind with Constant Limits of Integration
Nonlinear Equations of the First Kind with Variable Limit of Integration
Nonlinear Equations of the Second Kind with Variable Limit of Integration
Nonlinear Equations of the First Kind with Constant Limits of Integration
Nonlinear Equations of the Second Kind with Constant Limits of Integration
METHODS FOR SOLVING INTEGRAL EQUATIONS
Main Definitions and Formulas: Integral Transforms
Methods for Solving Linear Equations of the Form ∫xa K(x, t)y(t)dt = f(x)
Methods for Solving Linear Equations of the Form y(x) xa K(x, t)y(t)dt = f(x)
Methods for Solving Linear Equations of the Form ∫xa K(x, t)y(t)dt = f(x)
Methods for Solving Linear Equations of the Form y(x) xa K(x, t)y(t)dt = f(x)
Methods for Solving Singular Integral Equations of the First Kind
Methods for Solving Complete Singular Integral Equations
Methods for Solving Nonlinear Integral Equations
Methods for Solving Multidimensional Mixed Integral Equations
Application of Integral Equations for the Investigation of Differential Equations

SUPPLEMENTS
Elementary Functions and Their Properties
Finite Sums and Infinite Series
Tables of Indefinite Integrals
Tables of Definite Integrals
Tables of Laplace Transforms
Tables of Inverse Laplace Transforms
Tables of Fourier Cosine Transforms
Tables of Fourier Sine Transforms
Tables of Mellin Transforms
Tables of Inverse Mellin Transforms
Special Functions and Their Properties
Some Notions of Functional Analysis

References
Index