Geodesic
On acyclicity of the set of solutions to the Cauchy problem for differential equations
Matematičeskie zametki, Tome 62 (1997) no. 6, pp. 836-842 
B. S. Klebanov; V. V. Filippov. On acyclicity of the set of solutions to the Cauchy problem for differential equations. Matematičeskie zametki, Tome 62 (1997) no. 6, pp. 836-842. http://geodesic.mathdoc.fr/item/MZM_1997_62_6_a4/
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     author = {B. S. Klebanov and V. V. Filippov},
     title = {On acyclicity of the set of solutions to the {Cauchy} problem for differential equations},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The acyclicity of sets of solutions to the Cauchy problem is considered from the viewpoint of the axiomatic theory of solutions spaces of ordinary differential equations. We prove that the class of acyclic solution spaces is closed with respect to passing to the limit space.

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