2015/08/11 by Alberto Lastra, Lastra, Alberto, Stéphane Malek +1 · 1 citation
Mathematics · Physics and Astronomy · #35C10 #35C20 #Analysis of PDEs (math.AP) #Complex Variables (math.CV) #Differential Equations and Boundary Problems #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical functions and polynomials #Nonlinear Waves and Solitons #Spectral Theory in Mathematical Physics #math.AP #math.CV #math.FA #msc:35C10 #msc:35C20
paper · pdf · doi:10.48550/arxiv.1508.02621
2 figures
arxiv created 2015/08/11 · openalex publication_date 2015/08/11 · arxiv updated 2015/08/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study a linear q-difference-differential Cauchy problem, under the action of a perturbation parameter ε. This work deals with a q-analog of the research made in a previoues work, giving rise to a generalization of a recent work by the second author. 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.