Fuchs' Theorem on the solutions of ordinary linear differential equations with regular singularities is extended to positive characteristic by proving a normal form theorem for the respective linear differential operators. This yields an explicit algorithm to compute a basis of solutions in characteristic p.

翻译：Fuchs关于具有正则奇点的常微分方程解的正规型定理被推广到正特征情形，通过证明相应线性微分算子的正规型定理。该结果给出了在特征p下计算解基的显式算法。