On solvability of a nonlinear problem in theory of income distribution (Q2910104)
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scientific article; zbMATH DE number 6079030
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On solvability of a nonlinear problem in theory of income distribution |
scientific article; zbMATH DE number 6079030 |
Statements
7 September 2012
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measurable function
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iteration
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factorization
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density distribution
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pointwise limit
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mean income
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numerical examples
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integro-differential equation
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Hammerstein type noncompact operator
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income distribution
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positive solution
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On solvability of a nonlinear problem in theory of income distribution (English)
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This paper considers a nonlinear integro-differential equation with a Hammerstein type noncompact operator, arising in the theory of income distribution. It proves the existence of a positive solution of the nonlinear problem in Sobolev space \(W_1^1(\mathbb R^+)\). Some examples arising in applications are shown. For one modeling problem a uniqueness theorem is proved. At the end of the paper the results of numerical calculations are given.
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