Under assumptions, solutions to singularly perturbed linear ODEs and moment ODEs are summable, with a link to moment PDEs used to describe multisummable formal solutions.
Sibuya,The Gevrey asymptotics in the case of singular perturbations, J
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Summability of formal solutions of some singular perturbations problems in differential and moment differential equations
Under assumptions, solutions to singularly perturbed linear ODEs and moment ODEs are summable, with a link to moment PDEs used to describe multisummable formal solutions.