Geodesic
On asymptotic decaying solutions for a class of second order differential equations
Archivum mathematicum, Tome 35 (1999) no. 3, pp. 275-284.

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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.
Classification : 34C11, 34D05
Keywords: nonoscillatory behavior; asymptotic decaying nonnegative solutions; fixed point theorem 
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     author = {Matucci, Serena},
     title = {On asymptotic decaying solutions for a class of second order differential equations},
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Matucci, Serena. On asymptotic decaying solutions for a class of second order differential equations. Archivum mathematicum, Tome 35 (1999) no. 3, pp. 275-284. http://geodesic.mathdoc.fr/item/ARM_1999__35_3_a6/