Geodesic
Asymptotic properties of solutions of functional differential systems
Mathematica Bohemica, Tome 117 (1992) no. 2, pp. 207-216.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

In the paper we study the existence of nonoscillatory solutions of the system $x^{(n)}_i(t)=\sum^2_{j=1}p_{ij}(t)f_{ij}(x_j(h_{ij}(t))), n\geq 2, i=1,2$, with the property $lim_{t\rightarrow \infty}x_i(t)/t^{k_i}=const \neq 0$ for some $k_i\in \{1,2,\ldots,n-1\}, i=1,2$. Sufficient conditions for the oscillation of solutions of the system are also proved.
DOI : 10.21136/MB.1992.125902
Classification : 34C10, 34K05, 34K15, 34K25, 34K99
Keywords: functional differential system; Schauder-Tichonov fixed point theorem; oscillatory and nonoscillatory solutions; prescribed asymptotics; oscillatory solutions; nonoscillatory solutions 
@article{10_21136_MB_1992_125902,
     author = {Ivanov, Anatolij F. and Maru\v{s}iak, Pavol},
     title = {Asymptotic properties of solutions of functional differential systems},
     journal = {Mathematica Bohemica},
     pages = {207--216},
     publisher = {mathdoc},
     volume = {117},
     number = {2},
     year = {1992},
     doi = {10.21136/MB.1992.125902},
     mrnumber = {1165898},
     zbl = {0757.34063},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1992.125902/}
}
TY  - JOUR
AU  - Ivanov, Anatolij F.
AU  - Marušiak, Pavol
TI  - Asymptotic properties of solutions of functional differential systems
JO  - Mathematica Bohemica
PY  - 1992
SP  - 207
EP  - 216
VL  - 117
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1992.125902/
DO  - 10.21136/MB.1992.125902
LA  - en
ID  - 10_21136_MB_1992_125902
ER  - 
%0 Journal Article
%A Ivanov, Anatolij F.
%A Marušiak, Pavol
%T Asymptotic properties of solutions of functional differential systems
%J Mathematica Bohemica
%D 1992
%P 207-216
%V 117
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1992.125902/
%R 10.21136/MB.1992.125902
%G en
%F 10_21136_MB_1992_125902
Ivanov, Anatolij F.; Marušiak, Pavol. Asymptotic properties of solutions of functional differential systems. Mathematica Bohemica, Tome 117 (1992) no. 2, pp. 207-216. doi : 10.21136/MB.1992.125902. http://geodesic.mathdoc.fr/articles/10.21136/MB.1992.125902/

Cité par Sources :