【摘要】 本文构造了高阶常微算子 L[u]=a_m（x）（（d^mu）/（dx^m））+a_m-1（x）((d^m-1u)/(dx^m-1))+…+a₀（x）u的Hadamard基本解展式,并给出由该基本解的升维地构造高维算子的基本解。更多还原

【Abstract】 In this note, Hadamard’s procedure for constructing a fundamental solution is generalized to the case of general linear holomorphic high—order ordinary differential equation L[U]=a_m（x）d^mu/dx^m+a_m-1（x）d^m-1u/dx^m-1+…+a₀（x）u=0 with am （x）=0 The first paragraph, We constructed charactarstic cone and invariant differential form. The next two paragraphs contain the construction the formal fundamental solution and the proof Its convergency. the same time, We gave ascending dimension construction to ordinary differenal equation’s fundamental solution Lx. yU=LxU+LyU更多还原