论文标题
正式解决方案的多功能性用于一个普遍的奇异扰动矩微分方程的家族
Multisummability of formal solutions for a family of generalized singularly perturbed moment differential equations
论文作者
论文摘要
力矩差异的概念通过适当的积分表示和对矩衍生物的准确估计来扩展到形式功率序列的一组概括。主要的结果用于表征复杂域中的一个奇异扰动的矩微分方程的形式解决方案的通用多功能性，从而广泛拓宽了在实践中要考虑的奇异扰动功能方程的范围，例如奇异的扰动的差异方程和奇异的触发分数差分差分方程。
The notion of moment differentiation is extended to the set of generalized multisums of formal power series via an appropriate integral representation and accurate estimates of the moment derivatives. The main result is applied to characterize generalized multisummability of the formal solution to a family of singularly perturbed moment differential equations in the complex domain, broadening widely the range of singularly perturbed functional equations to be considered in practice, such as singularly perturbed differential equations and singularly perturbed fractional differential equations.
