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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