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中文摘要：
本文考虑了张力桥稳定性问题的数学模型,对相应的非线性微分方程组边值问题正解的存在性问题进行了研究。通过构造特殊的锥,在不同区间上利用锥拉伸和锥压缩不动点定理,给出了一类复合型非线性微分方程组边值问题一个或多个正解的存在性,并且给出几个例子说明本文定理的应用,从而有助于对实际工程中张力桥的稳定性问题的研究。
英文摘要：
In this paper, we concern the mathematical model relevant with the stability of suspension bridge, which is about the existence of positive solutions of boundary value problems for systems of nonlinear differential equations. By constructing a special cone and using the fixed point theorems of cone expansion and cone compression in different intervals, we give the existence and multiplicity of positive solutions to boundary value problems for a kind of coupled systems of nonlinear differential equations. Examples are also given to illustrate our main results, which could help us to study the stability of the suspension bridge.
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