一类广义矩偏微分方程形式解的可和性
Summability of formal solutions for some generalized moment partial differential equations
摘要：
将矩微分的概念推广到矩可和函数类，给出了矩微分的性质。主要结果依赖于无穷远处指数增长函数的矩导数的整表示的精确上估计和积分路径的适当变形。应用该理论得到了一类变系数广义线性矩偏微分方程的可和性结果。
英文摘要：
The concept of moment differentiation is extended to the class of moment summable functions, giving rise to moment differential properties. The main result leans on accurate upper estimates for the integral representation of the moment derivatives of functions under exponential-like growth at infinity, and appropriate deformation of the integration paths. The theory is applied to obtain summability results of certain family of generalized linear moment partial differential equations with variable coefficients.
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