中文摘要：

应用算子直和分解法和二次型比较的方法,研究了一类具幂指积系数微分算子谱的离散性,得到了该类微分算子的谱是离散的一些充分条件.

英文摘要：

The discrete spectrum of a class of differential operators with coefficients of power- exponential product functions is discussed. Some suifficient conditions for considered differential operators are obtained to ensure that the spectrum is discrete with direct sum decomposition method of operators and comparison method of the corresponding quadratic forms.