Add to ORKGThe question of the convergence of generalized formal power series (with complex power exponents) solutions of $q$-difference equations is studied in the situation where the small divisors phenomenon arises; a sufficient condition of convergence generalizing corresponding conditions for classical power series solutions is obtained.Comment: 16 page
Abstract: Here is presented a proof of the theorem, which was formulated in more general f...
AbstractWe study certain classes of equations for Fq-linear functions which are the natural function...
International audienceThe analytic and formal solutions of certain family of q-difference-differenti...
A sufficient condition for the convergence of a generalized formal power series solution to an alge...
The aim of this work is to establish the existence, uniqueness and q-Gevrey character of formal powe...
Abstract: In this preprint we study some properties of generalized power series that are f...
AbstractSimilar to the problem of linearization, the “small divisor problem” also arises in the disc...
We consider the Cauchy problem for homogeneous linear $q$-difference-differential equations with con...
We consider a Cauchy problem for some family of linear q-difference-differential equations with Fuch...
We show that the equation $\frac{x^p + y^p}{x+y} = p^e z^q$ has no solutions in coprime integers $x,...
We consider analytic and formal solutions of certain family of q-difference-differential equations u...
AbstractThe point source of this work is Seleznev's theorem which asserts the existence of a power s...
AbstractIn this paper, some analytic approaches are formulated for the existence of analytic solutio...
summary:In this paper, we present a considerable simplification of the proof of a theorem by Gan and...
summary:In this note we investigate a relationship between the boundary behavior of power series and...
Abstract: Here is presented a proof of the theorem, which was formulated in more general f...
AbstractWe study certain classes of equations for Fq-linear functions which are the natural function...
International audienceThe analytic and formal solutions of certain family of q-difference-differenti...
A sufficient condition for the convergence of a generalized formal power series solution to an alge...
The aim of this work is to establish the existence, uniqueness and q-Gevrey character of formal powe...
Abstract: In this preprint we study some properties of generalized power series that are f...
AbstractSimilar to the problem of linearization, the “small divisor problem” also arises in the disc...
We consider the Cauchy problem for homogeneous linear $q$-difference-differential equations with con...
We consider a Cauchy problem for some family of linear q-difference-differential equations with Fuch...
We show that the equation $\frac{x^p + y^p}{x+y} = p^e z^q$ has no solutions in coprime integers $x,...
We consider analytic and formal solutions of certain family of q-difference-differential equations u...
AbstractThe point source of this work is Seleznev's theorem which asserts the existence of a power s...
AbstractIn this paper, some analytic approaches are formulated for the existence of analytic solutio...
summary:In this paper, we present a considerable simplification of the proof of a theorem by Gan and...
summary:In this note we investigate a relationship between the boundary behavior of power series and...
Abstract: Here is presented a proof of the theorem, which was formulated in more general f...
AbstractWe study certain classes of equations for Fq-linear functions which are the natural function...
International audienceThe analytic and formal solutions of certain family of q-difference-differenti...