Geodesic
On asymptotic properties of a strongly nonlinear differential equation
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 1, pp. 121-126

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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 
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     author = {Adamec, Ladislav},
     title = {On asymptotic properties of a strongly nonlinear differential equation},
     journal = {Czechoslovak Mathematical Journal},
     pages = {121--126},
     publisher = {mathdoc},
     volume = {51},
     number = {1},
     year = {2001},
     mrnumber = {1814637},
     zbl = {1079.34528},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2001__51_1_a10/}
}
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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/