Geodesic
Asymptotics of Solutions to Differential Equations near Singular Points
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 194-217.

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Conditions are obtained under which all solutions to a normal system of equations asymptotically or strongly asymptotically approximate to polynomials as the argument tends to infinity. For the system of the form $L\mathbf x=\mathbf f$, where $L$ is a first-order linear differential operator, conditions are found under which all its solutions $L$-asymptotically approximate to the solutions of the homogeneous system $L\mathbf x=\mathbf 0$ as the argument tends to the singular point of the former system. 
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L. D. Kudryavtsev. Asymptotics of Solutions to Differential Equations near Singular Points. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Function spaces, harmonic analysis, and differential equations, Tome 232 (2001), pp. 194-217. http://geodesic.mathdoc.fr/item/TM_2001_232_a16/

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