Page 9 - Handbook Of Integral Equations

CONTENTS

Annotation

Foreword
Some Remarks and Notation

Part I. Exact Solutions of Integral Equations

1. Linear Equations of the First Kind With Variable Limit of Integration
1.1. Equations Whose Kernels Contain Power-Law Functions
1.1-1. Kernels Linear in the Arguments x and t
1.1-2. Kernels Quadratic in the Arguments x and t
1.1-3. Kernels Cubic in the Arguments x and t
1.1-4. Kernels Containing Higher-Order Polynomials in x and t
1.1-5. Kernels Containing Rational Functions
1.1-6. Kernels Containing Square Roots
1.1-7. Kernels Containing Arbitrary Powers
1.2. Equations Whose Kernels Contain Exponential Functions
1.2-1. Kernels Containing Exponential Functions
1.2-2. Kernels Containing Power-Law and Exponential Functions
1.3. Equations Whose Kernels Contain Hyperbolic Functions
1.3-1. Kernels Containing Hyperbolic Cosine
1.3-2. Kernels Containing Hyperbolic Sine
1.3-3. Kernels Containing Hyperbolic Tangent
1.3-4. Kernels Containing Hyperbolic Cotangent
1.3-5. Kernels Containing Combinations of Hyperbolic Functions
1.4. Equations Whose Kernels Contain Logarithmic Functions
1.4-1. Kernels Containing Logarithmic Functions
1.4-2. Kernels Containing Power-Law and Logarithmic Functions
1.5. Equations Whose Kernels Contain Trigonometric Functions
1.5-1. Kernels Containing Cosine
1.5-2. Kernels Containing Sine
1.5-3. Kernels Containing Tangent
1.5-4. Kernels Containing Cotangent
1.5-5. Kernels Containing Combinations of Trigonometric Functions
1.6. Equations Whose Kernels Contain Inverse Trigonometric Functions
1.6-1. Kernels Containing Arccosine
1.6-2. Kernels Containing Arcsine
1.6-3. Kernels Containing Arctangent
1.6-4. Kernels Containing Arccotangent

© 1998 by CRC Press LLC

© 1998 by CRC Press LLC
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