On solvability in \(W_1^1(\mathbb R^+)\) of a nonlinear integro-differential equation with a noncompact Hammerstein-Nemytskiĭ operator (Q2849051)
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scientific article; zbMATH DE number 6208261
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On solvability in \(W_1^1(\mathbb R^+)\) of a nonlinear integro-differential equation with a noncompact Hammerstein-Nemytskiĭ operator |
scientific article; zbMATH DE number 6208261 |
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16 September 2013
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noncompact Hammerstein-Nemytskiĭ operator
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Carathéodory condition
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convergence of iterations
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Hammerstein type equation
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Sobolev space
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positive solution
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nonlinear integro-differential equation of convolution type
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On solvability in \(W_1^1(\mathbb R^+)\) of a nonlinear integro-differential equation with a noncompact Hammerstein-Nemytskiĭ operator (English)
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The author proves the existence of a positive solution (in a Sobolev space) to a nonlinear integro-differential equation of convolution type. The structure of the solution is also studied.
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