Affiliation:
1. School of Science, Tianjin University of Commerce, Tianjin 300134, China
2. Department of Mathematics, Department of Computing and Information Systems, Trent University, Peterborough, ON, Canada K9J 7B8
Abstract
Based on Guo-Krasnoselskii’s fixed point theorem, the existence of positive solutions for a class of nonlinear algebraic systems of the formx=GFxis studied firstly, whereGis a positiven×nsquare matrix,x=col(x1,x2,…,xn), andF(x)=col(f(x1),f(x2),…,f(xn)), where,F(x)is not required to be satisfied sublinear or superlinear at zero point and infinite point. In addition, a new cone is constructed inRn. Secondly, the obtained results can be extended to some more general nonlinear algebraic systems, where the coefficient matrixGand the nonlinear term are depended on the variablex. Corresponding examples are given to illustrate these results.
Funder
Natural Sciences and Engineering Research Council of Canada
Subject
General Engineering,General Mathematics
Cited by
4 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献