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.
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页码：259 / 291
页数：33
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