Existence results for singular integral equations of Fredholm type (Q1975280)

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scientific article; zbMATH DE number 1428502
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Existence results for singular integral equations of Fredholm type
scientific article; zbMATH DE number 1428502

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    Existence results for singular integral equations of Fredholm type (English)
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    9 April 2000
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    The authors first prove the existence of one (or more) nonnegative solutions to the nonlinear singular integral equation \[ y(t)=\theta(t)+\int^1_0 k(t,s)[g(y(s))+h(y(s))]ds \] where \(g>0\) and \(t\in [0,1]\). Next, an illustrative example is given. Finally, the authors discuss the nonsingular case \(g=0\) of the above equation.
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    existence
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    nonnegative solutions
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    nonlinear singular integral equation
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