Rodica D. Costin

Rigorous WKB for finite-order linear recurrence relations with smooth coefficients

The

Evolution of a Model Quantum System Under Time Periodic Forcing: Conditions for Complete Ionization

\epsilon \to 0

Time Asymptotics of the Schrödinger Wave Function in Time-Periodic Potentials

behavior of recurrence relations of the type

SINGULAR NORMAL FORM FOR THE PAINLEVE EQUATION P1

\sum\nolimits_{j = 0}^l {a_j (k\epsilon ,\epsilon )y_{k + j} = 0}

Nonintegrability criteria for a class of differential equations with two regular singular points

,

Analytic linearization of nonlinear perturbations of Fuchsian systems

k \in {\bf Z}

Asymptotic properties of a family of solutionsof the Painlevé equation PVI

(l fixed) is studied. The

A class of matrix-valued polynomials generalizing Jacobi polynomials

a_j

Rigorous bounds of Stokes constants for some nonlinear ordinary differential equations at rank-one irregular singularities

are

Nonperturbative time dependent solution of a simple ionization model

C^\infty