Abstract
We study the oscillation properties of solutions to the nonlinear scalar second-order ODE \begin{equation} u''(t)+\vert u(t) \vert ^{\beta}u(t)+g(u'(t))=0,\quad t\leq0, \end{equation} where $\beta$ is a positive constant and $g:\mathbf{R}\rightarrow \mathbf{R}$ is an increasing and locally Lipschitz function behaving globally like $\vert v \vert^{\alpha}v$, $\alpha>0.$
Citation
Faouzia Aloui. "Oscillatory behavior near blow-up of the solutions to some second-order nonlinear ODE." Differential Integral Equations 25 (7/8) 719 - 730, July/August 2012. https://doi.org/10.57262/die/1356012660
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