S. MALEK
On the Stokes phenomenon for holomorphic solutions of integro-differential equations with irregular singularity
(513K, postscript)
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 generalized Laplace transform of convergent series of hyperfunctions defined on half-lines in C.