Geodesic
Oscillation Theorems for Second Order Nonlinear Differential Equations with Damping
Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4 Cet article a éte moissonné depuis la source Bulletin of the Malaysian Mathematical Society website

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Some oscillation criteria for solutions of a general ordinary differential equation of second order of the form \begin{equation*}(r(t)\psi(x(t))\dot{x}(t))^{.}+h(t)\dot{x}(t)+q(t)\phi(g(x(t)),r(t)\psi(x(t))\dot{x}(t))=H(t,x(t),\dot{x}(t))\end{equation*} with alternating coefficients are discussed. Our results improve and extend some existing results in the literature. Some illustrative examples are given with its numerical solutions which are computed using Runge Kutta method of fourth order.
Classification : 34A34, 34K11 
@article{BMMS_2013_36_4_a2,
     author = {M. J. Saad and N. Kumaresan and K. Ratnavelu},
     title = {Oscillation {Theorems} for {Second} {Order} {Nonlinear} {Differential} {Equations} with {Damping}},
     journal = {Bulletin of the Malaysian Mathematical Society},
     year = {2013},
     volume = {36},
     number = {4},
     url = {http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a2/}
}
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M. J. Saad; N. Kumaresan; K. Ratnavelu. Oscillation Theorems for Second Order Nonlinear Differential Equations with Damping. Bulletin of the Malaysian Mathematical Society, Tome 36 (2013) no. 4. http://geodesic.mathdoc.fr/item/BMMS_2013_36_4_a2/