Add to ORKGThe aim of this work is to establish the existence, uniqueness and q-Gevrey character of formal power series solutions of q-analogues of analytic doubly-singular equations. Using a new family of Nagumo norms adapted for q-differences we find new types of optimal divergence associated with these problems. We also provide some examples to illustrate our results
We consider analytic and formal solutions of certain family of q-difference-differential equations u...
International audienceWe provide algorithms computing power series solutions of a large class of dif...
In 1996, Braaksma and Faber established the multi-summability, on suitable multi-intervals, of forma...
The aim of this work is to establish the existence, uniqueness and q-Gevrey character of formal powe...
A sufficient condition for the convergence of a generalized formal power series solution to an alge...
We study a q-analog of a singularly perturbed Cauchy problem with irregular singularity in the compl...
Tyt. z nagłówka.Bibliogr. s. 737.Let q > 1. The paper considers a linear q-difference-differential e...
We consider a Cauchy problem for some family of linear q-difference-differential equations with Fuch...
AbstractIn this paper, some analytic approaches are formulated for the existence of analytic solutio...
"New development of microlocal analysis and singular perturbation theory". October 3-7, 2016. edited...
International audienceThe analytic and formal solutions of certain family of q-difference-differenti...
We study the asymptotic behavior of the solutions related to a singularly perturbed q-difference-dif...
We consider the Cauchy problem for homogeneous linear $q$-difference-differential equations with con...
The question of the convergence of generalized formal power series (with complex power exponents) so...
36 pages. Following the referee's comments, we have clarified the exposition of some proofs and corr...
We consider analytic and formal solutions of certain family of q-difference-differential equations u...
International audienceWe provide algorithms computing power series solutions of a large class of dif...
In 1996, Braaksma and Faber established the multi-summability, on suitable multi-intervals, of forma...
The aim of this work is to establish the existence, uniqueness and q-Gevrey character of formal powe...
A sufficient condition for the convergence of a generalized formal power series solution to an alge...
We study a q-analog of a singularly perturbed Cauchy problem with irregular singularity in the compl...
Tyt. z nagłówka.Bibliogr. s. 737.Let q > 1. The paper considers a linear q-difference-differential e...
We consider a Cauchy problem for some family of linear q-difference-differential equations with Fuch...
AbstractIn this paper, some analytic approaches are formulated for the existence of analytic solutio...
"New development of microlocal analysis and singular perturbation theory". October 3-7, 2016. edited...
International audienceThe analytic and formal solutions of certain family of q-difference-differenti...
We study the asymptotic behavior of the solutions related to a singularly perturbed q-difference-dif...
We consider the Cauchy problem for homogeneous linear $q$-difference-differential equations with con...
The question of the convergence of generalized formal power series (with complex power exponents) so...
36 pages. Following the referee's comments, we have clarified the exposition of some proofs and corr...
We consider analytic and formal solutions of certain family of q-difference-differential equations u...
International audienceWe provide algorithms computing power series solutions of a large class of dif...
In 1996, Braaksma and Faber established the multi-summability, on suitable multi-intervals, of forma...