On the Summability of Formal Solutions of Some Linear q-Difference-Differential Equations

被引：0

作者：

Tahara, Hidetoshi ^{[1
]}

机构：

[1] Sophia Univ, Dept Informat & Commun Sci, Chiyoda Ku, Tokyo 1028554, Japan

来源：

FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA | 2020年 / 63卷 / 02期

关键词：

q-Difference-differential equations; Summability; Formal solutions; q-Gevrey asymptotics; q-Laplace transforms; ASYMPTOTIC-EXPANSION; GEVREY; LAPLACE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper considers the summability of formal solutions (X) over cap (t, z) = Sigma(n >= 0) X-n(z)t(n) of some analytic linear q-difference-differential equations in the complex domain: the equation is a q-difference equation with respect to the time variable t and is a partial differential equation with respect to the space variables z. The discussion is done by using a new framework of q-Laplace and q-Borel transforms developed by the author.

引用

页码：259 / 291

页数：33

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