On some quadratic integral equations (Q805984)

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scientific article; zbMATH DE number 4205119
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English
On some quadratic integral equations
scientific article; zbMATH DE number 4205119

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    On some quadratic integral equations (English)
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    1990
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    Using the perturbation technique and the Banach contraction principle an existence and uniqueness theorem for an abstract quadratic integral equation is established. The obtained result is illustrated with help of the Chandrasekhar quadratic integral equation \(x(s)=c+\lambda x(s)\int^{1}_{0}(s/(t+s))x(t)dt\).
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    Chandrasekhar equation
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    radiative transfer
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    existence
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    uniqueness
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    quadratic integral equation
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