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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  R. P. Agarwal, On fourth order boundary value problems arising in beam analysis, Differential Integral Equations, 2 (1989), 91-110 ## R. P. Agarwal, Y. M. Chow, Iterative methods for a fourth order boundary value problem, J. Comput. Appl. Math., 10 (1984), 203-217 ## A. Cabada, G.-T. 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