Positive solutions of singular algebraic systems with a parameter

Hairong Lian; Haiyan Wang; Mengnien Wu; Tangan Gao

Positive solutions of singular algebraic systems with a parameter

Hairong Lian, Haiyan Wang, Mengnien Wu, Tangan Gao

Mathematical and Natural Sciences, School of (SMNS)

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this paper, we study positive solutions of singular systems of nonlinear algebraic equations with a parameter. With singularity at the origin, superlinearity or sublinearity at infinity, the existence and multiplicity of positive solutions are established. The proof of the results is based on Krasnoselskii fixed point theorem. Some examples are gave to illusive the results.

Original language	English (US)
Pages (from-to)	565-578
Number of pages	14
Journal	Communications in Applied Analysis
Volume	19
State	Published - 2015

ASJC Scopus subject areas

Analysis
Numerical Analysis
Modeling and Simulation
Applied Mathematics

Cite this

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AU - Lian, Hairong

AU - Wang, Haiyan

AU - Wu, Mengnien

AU - Gao, Tangan

PY - 2015

Y1 - 2015

N2 - In this paper, we study positive solutions of singular systems of nonlinear algebraic equations with a parameter. With singularity at the origin, superlinearity or sublinearity at infinity, the existence and multiplicity of positive solutions are established. The proof of the results is based on Krasnoselskii fixed point theorem. Some examples are gave to illusive the results.

AB - In this paper, we study positive solutions of singular systems of nonlinear algebraic equations with a parameter. With singularity at the origin, superlinearity or sublinearity at infinity, the existence and multiplicity of positive solutions are established. The proof of the results is based on Krasnoselskii fixed point theorem. Some examples are gave to illusive the results.

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JO - Communications in Applied Analysis

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Positive solutions of singular algebraic systems with a parameter

Abstract

ASJC Scopus subject areas

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