On asymptotic properties of a strongly nonlinear differential equation

Adamec, Ladislav. "On asymptotic properties of a strongly nonlinear differential equation." Czechoslovak Mathematical Journal 51.1 (2001): 121-126. <http://eudml.org/doc/30619>.

@article{Adamec2001,
abstract = {The paper describes asymptotic properties of a strongly nonlinear system $\dot\{x\}=f(t,x)$, $(t,x)\in \mathbb \{R\}\times \mathbb \{R\}^n$. The existence of an $\lfloor \{\}n/2\rfloor $ parametric family of solutions tending to zero is proved. Conditions posed on the system try to be independent of its linear approximation.},
author = {Adamec, Ladislav},
journal = {Czechoslovak Mathematical Journal},
keywords = {ordinary differential equations; asymptotic properties; ordinary differential equations; asymptotic properties},
language = {eng},
number = {1},
pages = {121-126},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On asymptotic properties of a strongly nonlinear differential equation},
url = {http://eudml.org/doc/30619},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Adamec, Ladislav
TI - On asymptotic properties of a strongly nonlinear differential equation
JO - Czechoslovak Mathematical Journal
PY - 2001
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 51
IS - 1
SP - 121
EP - 126
AB - The paper describes asymptotic properties of a strongly nonlinear system $\dot{x}=f(t,x)$, $(t,x)\in \mathbb {R}\times \mathbb {R}^n$. The existence of an $\lfloor {}n/2\rfloor $ parametric family of solutions tending to zero is proved. Conditions posed on the system try to be independent of its linear approximation.
LA - eng
KW - ordinary differential equations; asymptotic properties; ordinary differential equations; asymptotic properties
UR - http://eudml.org/doc/30619
ER -