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Existence of Positive Solutions for a Class of Nonlinear Algebraic Systems
Joint Authors
Du, Yongqiang
Zhang, Guang Y.
Feng, Wenying
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-11
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
Based on Guo-Krasnoselskii’s fixed point theorem, the existence of positive solutions for a class of nonlinear algebraic systems of the form x=GFx is studied firstly, where G is a positive n×n square matrix, x=col(x1,x2,…,xn), and F(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 in Rn.
Secondly, the obtained results can be extended to some more general nonlinear algebraic systems, where the coefficient matrix G and the nonlinear term are depended on the variable x.
Corresponding examples are given to illustrate these results.
American Psychological Association (APA)
Du, Yongqiang& Zhang, Guang Y.& Feng, Wenying. 2016. Existence of Positive Solutions for a Class of Nonlinear Algebraic Systems. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1112410
Modern Language Association (MLA)
Du, Yongqiang…[et al.]. Existence of Positive Solutions for a Class of Nonlinear Algebraic Systems. Mathematical Problems in Engineering No. 2016 (2016), pp.1-7.
https://search.emarefa.net/detail/BIM-1112410
American Medical Association (AMA)
Du, Yongqiang& Zhang, Guang Y.& Feng, Wenying. Existence of Positive Solutions for a Class of Nonlinear Algebraic Systems. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-7.
https://search.emarefa.net/detail/BIM-1112410
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112410