Ebook: Theory and Applications of Convolution Integral Equations

This volume presents a state-of-the-art account of the theory and applications of integral equations of convolution type, and of certain classes of integro-differential and non-linear integral equations. An extensive and well-motivated discussion of some open questions and of various important directions for further research is also presented. The book has been written so as to be self-contained, and includes a list of symbols with their definitions.
For users of convolution integral equations, the volume contains numerous, well-classified inversion tables which correspond to the various convolutions and intervals of integration. It also has an extensive, up-to-date bibliography. The convolution integral equations which are considered arise naturally from a large variety of physical situations and it is felt that the types of solutions discussed will be usefull in many diverse disciplines of applied mathematics and mathematical physical.
For researchers and graduate students in the mathematical and physical sciences whose work involves the solution of integral equations.

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This volume presents a state-of-the-art account of the theory and applications of integral equations of convolution type, and of certain classes of integro-differential and non-linear integral equations. An extensive and well-motivated discussion of some open questions and of various important directions for further research is also presented. The book has been written so as to be self-contained, and includes a list of symbols with their definitions.
For users of convolution integral equations, the volume contains numerous, well-classified inversion tables which correspond to the various convolutions and intervals of integration. It also has an extensive, up-to-date bibliography. The convolution integral equations which are considered arise naturally from a large variety of physical situations and it is felt that the types of solutions discussed will be usefull in many diverse disciplines of applied mathematics and mathematical physical.
For researchers and graduate students in the mathematical and physical sciences whose work involves the solution of integral equations.

Content:
Front Matter....Pages i-xx
Preliminaries on Special Function Kernels....Pages 1-14
Basic Properties and Theorems....Pages 15-25
Methods and Illustrative Examples....Pages 26-55
Miscellaneous Results and Open Questions....Pages 56-69
Equations of the Second and Other Kinds....Pages 70-80
Convolutions over Other Intervals....Pages 81-103
Back Matter....Pages 104-240

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This volume presents a state-of-the-art account of the theory and applications of integral equations of convolution type, and of certain classes of integro-differential and non-linear integral equations. An extensive and well-motivated discussion of some open questions and of various important directions for further research is also presented. The book has been written so as to be self-contained, and includes a list of symbols with their definitions.
For users of convolution integral equations, the volume contains numerous, well-classified inversion tables which correspond to the various convolutions and intervals of integration. It also has an extensive, up-to-date bibliography. The convolution integral equations which are considered arise naturally from a large variety of physical situations and it is felt that the types of solutions discussed will be usefull in many diverse disciplines of applied mathematics and mathematical physical.
For researchers and graduate students in the mathematical and physical sciences whose work involves the solution of integral equations.

Content:
Front Matter....Pages i-xx
Preliminaries on Special Function Kernels....Pages 1-14
Basic Properties and Theorems....Pages 15-25
Methods and Illustrative Examples....Pages 26-55
Miscellaneous Results and Open Questions....Pages 56-69
Equations of the Second and Other Kinds....Pages 70-80
Convolutions over Other Intervals....Pages 81-103
Back Matter....Pages 104-240
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