A remark on second order functional-differential systems

Šeda, Valter, and Belohorec, Štefan. "A remark on second order functional-differential systems." Archivum Mathematicum 029.3-4 (1993): 169-176. <http://eudml.org/doc/247431>.

@article{Šeda1993,
abstract = {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.},
author = {Šeda, Valter, Belohorec, Štefan},
journal = {Archivum Mathematicum},
keywords = {initial value problem; functional differential system; $R_\delta $-set; Kubáček’s theorem; Fréchet space; second order functional-differential system; initial value problem},
language = {eng},
number = {3-4},
pages = {169-176},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {A remark on second order functional-differential systems},
url = {http://eudml.org/doc/247431},
volume = {029},
year = {1993},
}

TY - JOUR
AU - Šeda, Valter
AU - Belohorec, Štefan
TI - A remark on second order functional-differential systems
JO - Archivum Mathematicum
PY - 1993
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 029
IS - 3-4
SP - 169
EP - 176
AB - 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.
LA - eng
KW - initial value problem; functional differential system; $R_\delta $-set; Kubáček’s theorem; Fréchet space; second order functional-differential system; initial value problem
UR - http://eudml.org/doc/247431
ER -