Geodesic
A remark on second order functional-differential systems
Archivum mathematicum, Tome 29 (1993) no. 3-4, pp. 169-176
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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 
@article{ARM_1993_29_3-4_a6,
     author = {\v{S}eda, Valter and Belohorec, \v{S}tefan},
     title = {A remark on second order functional-differential systems},
     journal = {Archivum mathematicum},
     pages = {169--176},
     year = {1993},
     volume = {29},
     number = {3-4},
     mrnumber = {1263119},
     zbl = {0804.34060},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_1993_29_3-4_a6/}
}
TY  - JOUR
AU  - Šeda, Valter
AU  - Belohorec, Štefan
TI  - A remark on second order functional-differential systems
JO  - Archivum mathematicum
PY  - 1993
SP  - 169
EP  - 176
VL  - 29
IS  - 3-4
UR  - http://geodesic.mathdoc.fr/item/ARM_1993_29_3-4_a6/
LA  - en
ID  - ARM_1993_29_3-4_a6
ER  - 
%0 Journal Article
%A Šeda, Valter
%A Belohorec, Štefan
%T A remark on second order functional-differential systems
%J Archivum mathematicum
%D 1993
%P 169-176
%V 29
%N 3-4
%U http://geodesic.mathdoc.fr/item/ARM_1993_29_3-4_a6/
%G en
%F ARM_1993_29_3-4_a6
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/

[1] Dugundji, J., Granas, A.: Fixed point theory. PWN, Warszawa, 1982. | MR

[2] Kubáček, Z.: Remarks on the paper of K. Czarnowski and T. Pruszko “On the structure of fixed point sets...". Preprint.