Application of the Leray-Schauder alternative to nonlinear singular operator equations

被引:1
|
作者
Altun, Ishak [1 ]
Koca, Kerim [1 ]
机构
[1] Kirikkale Univ, Dept Math, Fac Sci & Arts, TR-71450 Yahhsihan, Kirikkale, Turkey
关键词
Singular integral equation; Fixed point; Leray-Schauder alternative;
D O I
10.1016/j.na.2009.01.015
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we study the problem of existence of solution of nonlinear singular integral equations of the form {w(z) = Phi(z) + T(G)F (., w (.), h (.)) (z) h(z) = Phi'(z) + Pi(G)F (., w (.), h (.)) (z), z is an element of G subset of C. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1807 / 1811
页数:5
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