The author considers the quasilinear differential equations \begin{gather} \left(r(t)\varphi (x^{\prime })\right)^{\prime }+ q(t)f(x)=0\,,\quad \quad t\ge a\\ \multicolumn{2}{l}{\text{and}}\\ \left(r(t)\varphi (x^{\prime })\right)^{\prime } + F(t,x)=\pm g(t)\,,\quad \quad t\ge a\,. \end{gather} By means of topological tools there are established conditions ensuring the existence of nonnegative asymptotic decaying solutions of these equations.
@article{107701,
author = {Serena Matucci},
title = {On asymptotic decaying solutions for a class of second order differential equations},
journal = {Archivum Mathematicum},
volume = {035},
year = {1999},
pages = {275-284},
zbl = {1048.34088},
mrnumber = {1725843},
language = {en},
url = {http://dml.mathdoc.fr/item/107701}
}
Matucci, Serena. On asymptotic decaying solutions for a class of second order differential equations. Archivum Mathematicum, Tome 035 (1999) pp. 275-284. http://gdmltest.u-ga.fr/item/107701/
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