RT info:eu-repo/semantics/article
T1 On parametric multilevel q-Gevrey asymptotics for some linear q-difference-differential equations
A1 Lastra Sedano, Alberto
A1 Malek, Stephane
K1 Asymptotic expansion
K1 Borel-Laplace transform
K1 Fourier transform
K1 Formal power series
K1 Singular perturbation
K1 q-difference-differential equation
K1 Matemáticas
K1 Mathematics
AB We study linear q-difference-differential equations under the action of a perturbation parameter . This work deals with a q-analog of the research made in (Lastra and Malek in Adv. Differ. Equ. 2015:200, 2015) giving rise to a generalization of the work (Malek in Funkc. Ekvacioj, 2015, to appear). This generalization is related to the nature of the forcing term which suggests the use of a q-analog of an acceleration procedure. The proof leans on a q-analog of the so-called Ramis-Sibuya theorem which entails two distinct q-Gevrey orders. The work concludes with an application of the main result when the forcing term solves a related problem.
PB SpringerOpen
SN 1687-1839
YR 2015
FD 2015-05-01
LK http://hdl.handle.net/10017/41447
UL http://hdl.handle.net/10017/41447
LA eng
DS MINDS@UW
RD 09-jun-2023