Existence of Positive Solutions for a Class of Nonlinear Algebraic Systems

Yongqiang Du, Guang Zhang and Wenying Feng

Mathematical Problems in Engineering, 2016, vol. 2016, 1-7

Abstract:

Based on Guo-Krasnoselskii’s fixed point theorem, the existence of positive solutions for a class of nonlinear algebraic systems of the form is studied firstly, where is a positive square matrix, , and , where, is not required to be satisfied sublinear or superlinear at zero point and infinite point. In addition, a new cone is constructed in . Secondly, the obtained results can be extended to some more general nonlinear algebraic systems, where the coefficient matrix and the nonlinear term are depended on the variable . Corresponding examples are given to illustrate these results.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6120169

DOI: 10.1155/2016/6120169

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