Geodesic
Smoothness properties of solutions of nonlinear differential equations
Sbornik. Mathematics, Tome 72 (1992) no. 1, pp. 135-150 Cet article a éte moissonné depuis la source Math-Net.Ru

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Smoothness of solutions of ordinary differential equations of first and higher orders are considered in spaces of infinitely differentiable Roumieu functions. Various conditions on the right sides of the equations are studied for which smooth solutions of the equations lie in some Roumieu space. 
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P. P. Zabreiko; V. I. Nazarov. Smoothness properties of solutions of nonlinear differential equations. Sbornik. Mathematics, Tome 72 (1992) no. 1, pp. 135-150. http://geodesic.mathdoc.fr/item/SM_1992_72_1_a7/

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