Existence theorems for some quadratic integral equations (Q1269072)

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scientific article; zbMATH DE number 1217015
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Existence theorems for some quadratic integral equations
scientific article; zbMATH DE number 1217015

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    Existence theorems for some quadratic integral equations (English)
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    1 November 1998
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    The considered quadratic integral equations arise in the theories of radiative transfer and neutron transport and in the kinetic theory of gases. The theory of measures of noncompactness is used to prove few existence theorems for some quadratic integral equations. The theory is illustrated by two examples.
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    quadratic integral equations
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    radiative transfer
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    neutron transport
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    kinetic theory of gases
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    measures of noncompactness
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    existence
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