Asymptotics of solutions of a second-order linear differential system with a special right-hand side (Q919164)

The authors present construction and asymptoticity of a formal solution to a linear system of two equations of the first order \(Y'=[I(\mu)+A(t)]Y+B(t),\) where I(\(\mu\)) is Jordan block (matrix) with eigenvalue \(\mu\) of the second order, A(t) is a square matrix with infinite series as its elements and B(t) is a column vector with elements equal to \(e^{\lambda t}\sum^{m_ i}_{n=-\infty}b_{in}t^ n\), \(i=1,2\).