On a symmetrized definite integration (Q878913)
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scientific article; zbMATH DE number 5146983
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a symmetrized definite integration |
scientific article; zbMATH DE number 5146983 |
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On a symmetrized definite integration (English)
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26 April 2007
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The result reported in the present paper is based on an extension of Riemann's integration (as an alternative to Lebesgue's integration), that involves a direct projection of the curve of \(f(x)\) on the \(y= x\) line itself. Evaluation of this integral is shown to be related to the solution of nonlinear Cauchy problem and/or a nonlinear functional differential equation.
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extension of the Riemann integral
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Lebesgue integral
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symmetrized integral
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nonlinear Cauchy problems
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nonlinear functional differential equations
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