RT info:eu-repo/semantics/article
T1 On the multiple-scale analysis for some linear partial q-difference and differential equations with holomorphic coeffcients
A1 Dreyfus, Thomas
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 consider analytic and formal solutions of certain family of q-difference-differential equations under the action of a complex perturbation parameter. The previous study (Lastra and Malek in Adv. Differ. Equ. 2015:344, 2015) provides information in the case where the main equation under study is factorizable as a product of two equations in the so-called normal form. Each of them gives rise to a single level of q-Gevrey asymptotic expansion. In the present work, the main problem under study does not suffer any factorization, and a different approach is followed. More precisely, we lean on the technique developed in (Dreyfus in Int. Math. Res. Not. 15:6562-6587, 2015, where the first author makes distinction among the different q-Gevrey asymptotic levels by successive applications of two q-Borel-Laplace transforms of different orders, both to the same initial problem, which can be described by means of a Newton polygon.
PB SpringerOpen
SN 1687-1839
YR 2019
FD 2019-08-07
LK http://hdl.handle.net/10017/41534
UL http://hdl.handle.net/10017/41534
LA eng
NO European Commission
DS MINDS@UW
RD 23-abr-2024