我们应用凝聚映射的不动点指数理论，分别存两种情形下，获得了一些正解存在的结果，推广了近期这方面已有的一些结果。
By employing the fixed point index of condensing mapping, the existence results of positive solution are obtained under two cases, the conclusions extend the results recently achieved in this field.
根据对偶理论，应用对偶规划精确映射原问题，再按泰勒展式建立对偶问题的二阶近似。
According to the dual theory, the dual programming was used to map the original problem exactly and the second approximation of the dual problem was set up by Taylor's expansion.
在非线性微分形式及其在现代映射理论的应用中，一个重要的概念是分布楔乘。
In the theory of nonlinear differential forms and their applications to modern theory of mappings, an important concept is the distributional wedge product.
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