System of nonlinear Volterra's integral equations with polar kernel and singularities (Q875264)
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scientific article; zbMATH DE number 5142212
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | System of nonlinear Volterra's integral equations with polar kernel and singularities |
scientific article; zbMATH DE number 5142212 |
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System of nonlinear Volterra's integral equations with polar kernel and singularities (English)
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13 April 2007
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Using one special Colombeau algebra and the method of regularization of fractional derivatives with a delta sequence, the author proves the existence and the uniqueness of the solution of a system of nonlinear Volterra integral equations with polar kernel. In proving the existence-uniqueness theorem, other singularities are regularized with delta sequences with other growth.
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system of nonlinear Volterra integral equations with polar kernel
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regularization with delta sequences
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existence-uniqueness theorems
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Colombeau algebra
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0.7958927750587463
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0.7828331589698792
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