Geodesic
On asymptotic properties of a strongly nonlinear differential equation
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 121-126 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
Classification : 34D05, 34D99, 34E99
Keywords: ordinary differential equations; asymptotic properties 
@article{CMJ_2001_51_1_a10,
     author = {Adamec, Ladislav},
     title = {On asymptotic properties of a strongly nonlinear differential equation},
     journal = {Czechoslovak Mathematical Journal},
     pages = {121--126},
     year = {2001},
     volume = {51},
     number = {1},
     mrnumber = {1814637},
     zbl = {1079.34528},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001_51_1_a10/}
}
TY  - JOUR
AU  - Adamec, Ladislav
TI  - On asymptotic properties of a strongly nonlinear differential equation
JO  - Czechoslovak Mathematical Journal
PY  - 2001
SP  - 121
EP  - 126
VL  - 51
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/CMJ_2001_51_1_a10/
LA  - en
ID  - CMJ_2001_51_1_a10
ER  - 
%0 Journal Article
%A Adamec, Ladislav
%T On asymptotic properties of a strongly nonlinear differential equation
%J Czechoslovak Mathematical Journal
%D 2001
%P 121-126
%V 51
%N 1
%U http://geodesic.mathdoc.fr/item/CMJ_2001_51_1_a10/
%G en
%F CMJ_2001_51_1_a10
Adamec, Ladislav. On asymptotic properties of a strongly nonlinear differential equation. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 121-126. http://geodesic.mathdoc.fr/item/CMJ_2001_51_1_a10/

[Bartusek:1992] M. Bartušek: On Oscillatory Solutions of Differential Inequalities. Czechoslovak Math. J. 42 (117) (1992), 45–51. | MR

[Hartman] Ph. Hartman: Ordinary Differential Equations. John Wiley, New York-London-Sydney, 1964. | MR | Zbl

[Kiguradze-Chanturia:1990] I. T. Kiguradze and T. A. Chanturiya: Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations. Moskva, Nauka, 1990. (Russian)