Method of N-ary integral equations (Q1185173)
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scientific article; zbMATH DE number 37732
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Method of N-ary integral equations |
scientific article; zbMATH DE number 37732 |
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Method of N-ary integral equations (English)
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28 June 1992
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The author defines systems of \(N\)-ary integral equations on an interval of the real axis and studies systems of 6-ary integral equations with generalized Legendre functions as kernels. By means of an extension of the generalized Mehler-Fock integral transformation under certain conditions, the author reduces the 6-ary integral equations to Fredholm integral equations of the second kind, therefor existence and uniqueness of the solution of the above equations is proved.
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systems of \(N\)-ary integral equations
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generalized Legendre functions as kernels
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generalized Mehler-Fock integral transformation
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Fredholm integral equations of the second kind
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existence
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uniqueness
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