Finally, the condition and result of integral mean-value theorem are also improved combined with the Lagrange mean value theorem of differentials.

最后，结合拉格朗日微分中值定理改进了积分中值定理的条件和结论。

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Under certain condition, these systems are proved by fixed point method and mean value method to have almost-automorphic solution.

在某些条件下，利用不动点方法和平均值法证明了这类方程系具有概自守解。

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By increasing the condition of the integral mean value theorem, we prove that the existence of intermediate point and the existence of interval are corresponding to each other.

给出了积分中值定理的一个注记，证明了中值点的存在性与覆盖中值点的区间的存在性是相互对应的。

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