Add to ORKGAbstract. Using two concrete examples, we discuss the multisummability of WKB solutions of singularly perturbed linear ordinary differential equations. Integral representations of so-lutions and a criterion for the multisummability based on the Cauchy-Heine transform play an important role in the proof
In this article, we discuss formal invariants of singularly-perturbed linear differential systems in...
AbstractSingularly perturbed nonlinear differential/algebraic equations (DAE's) are considered, whic...
In this article, we discuss formal invariants of singularly-perturbed linear differential systems in...
AbstractWe investigate the summability of the unique formal power series solution of a singular pert...
We give an alternative proof of the multisummability property of divergent power series solutions of...
The notion of moment differentiation is extended to the set of generalized multisums of formal power...
As an introduction we present a new, elementary and constructive proof of the multisummability prope...
In this paper a proof is given of a theorem of J. Ecalle that formal power series solutions of nonli...
AbstractLet û(t, x)=∑n=1∞un(x)tn be a formal power series in one variable t satisfying formally P(t,...
AbstractIn an earlier paper of the author's, partial differential equations with constant coefficien...
We extend and propose a new proof for a reduction theorem near a simple turning point due to Aoki et...
"Exponential Analysis of Differential Equations and Related Topics". October 15～18, 2013. edited by ...
AbstractHere we solve singularly perturbed periodic problems in ordinary differential equations when...
AbstractFor linear differential equations x(n)+a1x(n−1)+⋯+anx=0 (and corresponding linear differenti...
Multisummability is a method which, for certain formal power series with radius of convergence equal...
In this article, we discuss formal invariants of singularly-perturbed linear differential systems in...
AbstractSingularly perturbed nonlinear differential/algebraic equations (DAE's) are considered, whic...
In this article, we discuss formal invariants of singularly-perturbed linear differential systems in...
AbstractWe investigate the summability of the unique formal power series solution of a singular pert...
We give an alternative proof of the multisummability property of divergent power series solutions of...
The notion of moment differentiation is extended to the set of generalized multisums of formal power...
As an introduction we present a new, elementary and constructive proof of the multisummability prope...
In this paper a proof is given of a theorem of J. Ecalle that formal power series solutions of nonli...
AbstractLet û(t, x)=∑n=1∞un(x)tn be a formal power series in one variable t satisfying formally P(t,...
AbstractIn an earlier paper of the author's, partial differential equations with constant coefficien...
We extend and propose a new proof for a reduction theorem near a simple turning point due to Aoki et...
"Exponential Analysis of Differential Equations and Related Topics". October 15～18, 2013. edited by ...
AbstractHere we solve singularly perturbed periodic problems in ordinary differential equations when...
AbstractFor linear differential equations x(n)+a1x(n−1)+⋯+anx=0 (and corresponding linear differenti...
Multisummability is a method which, for certain formal power series with radius of convergence equal...
In this article, we discuss formal invariants of singularly-perturbed linear differential systems in...
AbstractSingularly perturbed nonlinear differential/algebraic equations (DAE's) are considered, whic...
In this article, we discuss formal invariants of singularly-perturbed linear differential systems in...