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中文摘要：
本文利用Gundersen的方法研究了一个线性微分方程的解井证明此方程的每一个整函数解的级必为无穷，推广了Gundersen和杨连巾的若干结果。作为应用．我们还研究了与导数具有公共不动点的整函数．
英文摘要：
In this paper, we investigate the solution of a linear differential equation by using the method of Gundersen and prove that the order of every entire solution of the differential equation under consideration is infinite, which generalizes some results given by Gundersen and Yang. Also we give one of its applications to the entire functions that have the same fixed points with their derivatives.
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