]>
2017
10
7
ISSN 2008-1898
681
Existence and uniqueness of iterative positive solutions for singular Hammerstein integral equations
Existence and uniqueness of iterative positive solutions for singular Hammerstein integral equations
en
en
In this article, we study the existence and the uniqueness of iterative positive solutions for a class of nonlinear singular
integral equations in which the nonlinear terms may be singular in both time and space variables. By using the fixed point
theorem of mixed monotone operators in cones, we establish the conditions for the existence and uniqueness of positive solutions
to the problem. Moreover, we derive various properties of the positive solutions to the equation and establish their dependence
on the model parameter. The theorem obtained in this paper is more general and complements many previous known results
including singular and nonlinear cases. Application of the results to the study of differential equations are also given in the
article.
3364
3380
Xinqiu
Zhang
School of Mathematical Sciences
Qufu Normal University
China
1257368359@qq.com
Lishan
Liu
School of Mathematical Sciences
Department of Mathematics and Statistics
Qufu Normal University
Curtin University
China
Australia
mathlls@163.com
Yonghong
Wu
Department of Mathematics and Statistics
Curtin University
Australia
Y.Wu@curtin.edu.au
Mixed monotone operator
fixed point theorem
iterative positive solution
singular integral equations
boundary value problem
cone.
Article.1.pdf
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