Nonlinear singular integral equations in lebesgue spaces

被引:0
|
作者
Askhabov S.N. [1 ]
机构
[1] Chechen State University, Groznyi, Chechen Republic
关键词
Composition Operator; Monotone Operator; Singular Integral Equation; Lebesgue Space; Inverse Operator;
D O I
10.1007/s10958-011-0237-6
中图分类号
学科分类号
摘要
By using the monotone (in the Browder-Minty sense) operator method, the nonlocal theorems of existence and uniqueness of solution for various classes of nonlinear singular integral equations in real and complex Lebesgue spaces with general weight are proved. Estimates for the norm of solutions are obtained. © 2010 Springer Science+Business Media, Inc.
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页码:155 / 171
页数:16
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