Equations of convolution type with a monotone nonlinearity on an interval (Q901883)
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scientific article; zbMATH DE number 6526890
| Language | Label | Description | Also known as |
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| English | Equations of convolution type with a monotone nonlinearity on an interval |
scientific article; zbMATH DE number 6526890 |
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Equations of convolution type with a monotone nonlinearity on an interval (English)
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6 January 2016
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The paper is devoted to a study of nonlinear Fredholm integral equations of the second kind with a convolution kernel that satisfies some monotonicity conditions. The nonlinearity may appear with respect to either the unknown function outside the integral or the unknown inside the integral or with respect to the entire integral. In all cases, some Carathéodory conditions are assumed to hold for the nonlinearity. In this setting, sufficient conditions are derived for the existence of a solution and for the uniqueness of the solution. Bounds for the norms of solutions are deduced as well.
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monotonicity
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existence of solutions
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uniqueness of solutions
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nonlinear Fredholm integral equations of the second kind
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convolution kernel
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Carathéodory conditions
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