Asymptotic properties of one differential equation with unbounded delay
Mathematica Bohemica (2012)
- Volume: 137, Issue: 2, page 239-248
- ISSN: 0862-7959
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topSvoboda, Zdeněk. "Asymptotic properties of one differential equation with unbounded delay." Mathematica Bohemica 137.2 (2012): 239-248. <http://eudml.org/doc/246127>.
@article{Svoboda2012,
abstract = {We study the asymptotic behavior of the solutions of a differential equation with unbounded delay. The results presented are based on the first Lyapunov method, which is often used to construct solutions of ordinary differential equations in the form of power series. This technique cannot be applied to delayed equations and hence we express the solution as an asymptotic expansion. The existence of a solution is proved by the retract method.},
author = {Svoboda, Zdeněk},
journal = {Mathematica Bohemica},
keywords = {asymptotic expansion; retract method; asymptotic expansion; unbounded delay; power series; Lyapunov method; retract method},
language = {eng},
number = {2},
pages = {239-248},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Asymptotic properties of one differential equation with unbounded delay},
url = {http://eudml.org/doc/246127},
volume = {137},
year = {2012},
}
TY - JOUR
AU - Svoboda, Zdeněk
TI - Asymptotic properties of one differential equation with unbounded delay
JO - Mathematica Bohemica
PY - 2012
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 137
IS - 2
SP - 239
EP - 248
AB - We study the asymptotic behavior of the solutions of a differential equation with unbounded delay. The results presented are based on the first Lyapunov method, which is often used to construct solutions of ordinary differential equations in the form of power series. This technique cannot be applied to delayed equations and hence we express the solution as an asymptotic expansion. The existence of a solution is proved by the retract method.
LA - eng
KW - asymptotic expansion; retract method; asymptotic expansion; unbounded delay; power series; Lyapunov method; retract method
UR - http://eudml.org/doc/246127
ER -
References
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