A central connection problem for a normal system of linear differential equations (Q1062197)

Asymptotic forms are obtained for the two-by-two matrix system \(dX/dt=(\sum^{\infty}_{n=0}A_ nt^{-n})X\) where \(A_ 0\) is similar to \(diag(\lambda_ 1,\lambda_ 2)\) with \(\lambda_ 1\neq \lambda_ 2\) as t tends to infinity in certain sectors of the complex plane. The method uses an extension of the method of Stokes' multipliers and the precise asymptotic form is obtained.