2nd Edition
Handbook of Integral Equations Second Edition
1142 Pages
7 B/W Illustrations
by
Chapman & Hall
1144 Pages
by
Chapman & Hall
Also available as eBook on:
Unparalleled in scope compared to the literature currently available, the Handbook of Integral Equations, Second Edition contains over 2,500 integral equations with solutions as well as analytical and numerical methods for solving linear and nonlinear equations. It explores Volterra, Fredholm, Wiener–Hopf, Hammerstein, Uryson, and other equations that arise in mathematics, physics, engineering,... Read more
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
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
Biography
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
