Ordinary and partial differential equations, in particular: Analytic theory, formal power series solutions, multisummability;
Singular perturbation of ordinary differential equations;
The solutions of the confluent hypergeometric system, their Stokes phenomenon and the corresponding central connection problem.
W. Balser, “Summability of Formal Power-Series Solutions of Partial Differential Equations with Constant Coefficients”, CMFD, 1 (2003), 5–17; Journal of Mathematical Sciences, 124:4 (2004), 5085–5097