Page 11 - Handbook Of Integral Equations

2.7. Equations Whose Kernels Contain Combinations of Elementary Functions
2.7-1. Kernels Containing Exponential and Hyperbolic Functions
2.7-2. Kernels Containing Exponential and Logarithmic Functions
3.7-3. Kernels Containing Exponential and Trigonometric Functions
2.7-4. Kernels Containing Hyperbolic and Logarithmic Functions
2.7-5. Kernels Containing Hyperbolic and Trigonometric Functions
2.7-6. Kernels Containing Logarithmic and Trigonometric Functions
2.8. Equations Whose Kernels Contain Special Functions
2.8-1. Kernels Containing Bessel Functions
2.8-2. Kernels Containing Modified Bessel Functions
2.9. Equations Whose Kernels Contain Arbitrary Functions
2.9-1. Equations With Degenerate Kernel: K(x, t)= g 1 (x)h 1 (t)+ ·· · + g n (x)h n (t)
2.9-2. Equations With Difference Kernel: K(x, t)= K(x – t)
2.9-3. Other Equations
2.10. Some Formulas and Transformations
3. Linear Equation of the First Kind With Constant Limits of Integration
3.1. Equations Whose Kernels Contain Power-Law Functions
3.1-1. Kernels Linear in the Arguments x and t
3.1-2. Kernels Quadratic in the Arguments x and t
3.1-3. Kernels Containing Integer Powers of x and t or Rational Functions
3.1-4. Kernels Containing Square Roots
3.1-5. Kernels Containing Arbitrary Powers
3.1-6. Equation Containing the Unknown Function of a Complicated Argument
3.1-7. Singular Equations
3.2. Equations Whose Kernels Contain Exponential Functions
3.2-1. Kernels Containing Exponential Functions
3.2-2. Kernels Containing Power-Law and Exponential Functions
3.3. Equations Whose Kernels Contain Hyperbolic Functions
3.3-1. Kernels Containing Hyperbolic Cosine
3.3-2. Kernels Containing Hyperbolic Sine
3.3-3. Kernels Containing Hyperbolic Tangent
3.3-4. Kernels Containing Hyperbolic Cotangent
3.4. Equations Whose Kernels Contain Logarithmic Functions
3.4-1. Kernels Containing Logarithmic Functions
3.4-2. Kernels Containing Power-Law and Logarithmic Functions
3.4-3. An Equation Containing the Unknown Function of a Complicated Argument
3.5. Equations Whose Kernels Contain Trigonometric Functions
3.5-1. Kernels Containing Cosine
3.5-2. Kernels Containing Sine
3.5-3. Kernels Containing Tangent
3.5-4. Kernels Containing Cotangent
3.5-5. Kernels Containing a Combination of Trigonometric Functions
3.5-6. Equations Containing the Unknown Function of a Complicated Argument
3.5-7. A Singular Equation
3.6. Equations Whose Kernels Contain Combinations of Elementary Functions
3.6-1. Kernels Containing Hyperbolic and Logarithmic Functions
3.6-2. Kernels Containing Logarithmic and Trigonometric Functions

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
Page xi