Geodesic
On methods of solution of an infinite order equation in the real
Izvestiya. Mathematics , Tome 4 (1970) no. 4, pp. 859-890.

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Methods are given for the solution, in certain classes of infinitely differentiable functions, of a homogeneous differential equation of infinite order. 
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A. F. Leont'ev. On methods of solution of an infinite order equation in the real. Izvestiya. Mathematics , Tome 4 (1970) no. 4, pp. 859-890. http://geodesic.mathdoc.fr/item/IM2_1970_4_4_a8/

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