NUMERICAL SOLVABILITY OF HAMMERSTEIN INTEGRAL-EQUATIONS OF MIXED TYPE

被引:60
|
作者
GANESH, M
JOSHI, MC
机构
[1] Department of Mathematics, Indian Institute of Technology, Powai
关键词
D O I
10.1093/imanum/11.1.21
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We consider a mixed Hammerstein integral equation of the form [GRAPHICS] where -infinity < a < b < infinity, y, f(i), and k(i) (1 less-than-or-equal-to i less-than-or-equal-to m) are known functions and x is a solution to be determined. In this paper, we obtain existence, uniqueness, and numerical solvability of (I) under certain smoothness assumptions on the known functions y, f(i), and k(i).
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页码:21 / 31
页数:11
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