On the asymptotic behavior of the coefficients of asymptotic power series and its relevance to stokes phenomena
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In this paper, the relevance of the asymptotic behavior of the coefficients of the power series for the study of Stokes phenomena is discussed, by way of illustration a connection problem is considered in the theory of linear difference equations.Abstract:
This paper discusses the relevance of the asymptotic behavior of the coefficients of asymptotic power series for the study of Stokes phenomena By way of illustration a connection problem is considered in the theory of linear difference equationsread more
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On meromorphic equivalence of linear difference-operators
TL;DR: In this article, the authors consider linear difference equations whose coefficients are meromorphic at infinity and characterize the meromorphic equivalence classes of such equations by means of a system of meromorphic invariants.
References
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Asymptotic expansions for ordinary differential equations
TL;DR: Asymptotic expansions for ordinary differential equations as discussed by the authors, asymptotics expansions for ODEs, Asymptotically expansion for ordinary DDEs and their derivatives.
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Ordinary Differential Equations.
TL;DR: In this article, the Fundamental Theorem of Calculus gives us an important connection between differential equations and integrals, and modern numerical methods automatically determine the step sizes hn = tn+1 − tn so that the estimated error in the numerical solution is controlled by a specified tolerance.
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The formal classification of linear difference operators
TL;DR: In this article, a Jordan canonical form for formal difference operators is derived in a way inspired by [3], [4], and a classification of meromorphic difference operators in a neighbourhood of infinity, up to formal equivalence is given.
Lemmes de Hensel et factorisation formelle pour les opérateurs aux différences
TL;DR: In this article, a decomposition de son polygone de Newton is used to define a notion d'operateur fuchsien caracterisable comme dans le cas differentiel par des proprietes des solutions formelles.
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