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On the Stokes Phenomenon for Holomorphic Solutions of Integro-Differential Equations with Irregular Singularity

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Abstract

We study the Stokes phenomenon for sectorial holomorphic solutions of linear integro-differential equations in two variables t, z with irregular singularity at t = 0. More precisely, we give sufficient conditions on the coefficients of the equations and initial conditions under which the Stokes transition functions can be expressed as the generalized Laplace transform of a convergent series of hyperfunctions defined on half-lines in \( \mathbb{C} \).

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  1. Université de Lille 1 UFR de mathématiques, 59655, Villeneuve d’Ascq Cedex, France

    Stéphane Malek

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  1. Stéphane Malek
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Correspondence to Stéphane Malek.

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Malek, S. On the Stokes Phenomenon for Holomorphic Solutions of Integro-Differential Equations with Irregular Singularity. J Dyn Control Syst 14, 371–408 (2008). https://doi.org/10.1007/s10883-008-9043-y

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  • DOI: https://doi.org/10.1007/s10883-008-9043-y

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