Existence theorems for some quadratic integral equations

被引:83
作者
Banas, J
Lecko, M
El-Sayed, WG
机构
[1] Tech Univ Rzeszow, Dept Math, PL-35959 Rzeszow, Poland
[2] Univ Alexandria, Dept Math, Alexandria, Egypt
关键词
D O I
10.1006/jmaa.1998.5941
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using the theory of measures of noncompactness, we prove a few existence theorems for some quadratic integral equations. The class of quadratic integral equations considered below contains as a special case numerous integral equations encountered in the theories of radiative transfer and neutron transport, and in the kinetic theory of gases. In particular, the well-known Chandrasekhar integral equation also belongs to this class. (C) 1998 Academic Press.
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页码:276 / 285
页数:10
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