Some nonlinear eigenvalue problems are re-studied and some improvments are made in the required results.

对一类非线性本征值问题进行了新的探讨，改进了已有结果。

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Using homotopy methods, this paper gives an analysis on the existence of zeros of the decomposable mapping, and finds its application to a class of nonlinear eigenvalue problems.

用同伦方法分析了可分解映射的零点存在性，并获得它对一类非线性特征值问题的应用。

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