Sûto's method applied to a problem of Färe and Mitchell (Q1198186)
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scientific article; zbMATH DE number 92514
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sûto's method applied to a problem of Färe and Mitchell |
scientific article; zbMATH DE number 92514 |
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Sûto's method applied to a problem of Färe and Mitchell (English)
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16 January 1993
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The author offers the general twice differentiable solution of the functional equation \[ \phi(x+\psi(y-x))=f(x)+g(y)+h(x)k(y) \] on a region in \(\mathbb{R}^ 2\). A seven row table is filled with solutions, even though they are just representatives of equivalence classes and the solutions in cases which have been known before are omitted. The problem takes its origin in mathematical economics.
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Sûto's method
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continuity
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strict monotonicity
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differentiable solution
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functional equation
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mathematical economics
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