Geodesic
A remark on second order functional-differential systems
Archivum mathematicum, Tome 29 (1993) no. 3-4, pp. 169-176

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It is proved that under some conditions the set of solutions to initial value problem for second order functional differential system on an unbounded interval is a compact $R_\delta $-set and hence nonvoid, compact and connected set in a Fréchet space. The proof is based on a Kubáček’s theorem.
Classification : 34K05, 34K25, 54H25
Keywords: initial value problem; functional differential system; $R_\delta$-set; Kubáček’s theorem; Fréchet space 
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     title = {A remark on second order functional-differential systems},
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Šeda, Valter; Belohorec, Štefan. A remark on second order functional-differential systems. Archivum mathematicum, Tome 29 (1993) no. 3-4, pp. 169-176. http://geodesic.mathdoc.fr/item/ARM_1993__29_3-4_a6/