Existence of Nondecreasing Positive Solutions for a System of Singular Integral Equations

被引：22
|
作者：
Aghajani, Asadollah [1 ]
Jalilian, Yaghoub [1 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran, Iran
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2011年 / 8卷 / 04期
关键词：
Superposition operator; positive solution; system of singular integral equations; measure of noncompactness;
D O I：
10.1007/s00009-010-0095-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a monotonicity property of the superposition operator in higher dimensions will be proved. Then by using the concept of measure of noncompactness, we will establish the existence of nondecreasing positive solutions for a system of singular integral equations. Furthermore, the results will be used to investigate the solvability of the system of k (th) -order initial value problems.
引用
收藏
页码：563 / 576
页数：14
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