Positive solutions of operator equations on ordered Banach spaces and applications

Authors:
Cheng-Bo Zhai;Chen Yang;Chun-Mei Guo
Affiliations:
School of Mathematical Science, Shanxi University, Taiyuan 030006, Shanxi, PR China;Department of Public Courses, Business College of Shanxi University, Taiyuan 030031, PR China;School of Mathematical Science, Shanxi University, Taiyuan 030006, Shanxi, PR China
Venue:
Computers & Mathematics with Applications
Year:
2008

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Abstract

This paper is concerned with an operator equation on ordered Banach spaces. The existence and uniqueness of its' positive solutions is obtained by using the properties of cones and monotone iterative technique. As applications, we utilize the results obtained in this paper to study the existence and uniqueness of positive solutions for two classes of integral equations.