Geodesic
Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term
Serdica Mathematical Journal, Tome 34 (2008) no. 2, pp. 395-414.

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Some new criteria for the oscillation of all solutions of second order differential equations of the form (d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+ p(t)φ(|x|α−2x,r(t) ψ(x)|dx/dt|α−2(dx/dt))+q(t)|x|α−2 x=0, and the more general equation (d/dt)(r(t)ψ(x)|dx/dt|α−2(dx/dt))+p(t)φ(g(x),r(t) ψ(x)|dx/dt|α−2 (dx/dt))+q(t)g(x)=0, are established. our results generalize and extend some known oscillation criterain in the literature.
Keywords: Oscillation, Second Order Nonlinear Differential Equation 
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     author = {Elabbasy, E. M. and Elhaddad, W. W.},
     title = {Oscillation {Criteria} for {Nonlinear} {Differential} {Equations} of {Second} {Order} with {Damping} {Term}},
     journal = {Serdica Mathematical Journal},
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Elabbasy, E. M.; Elhaddad, W. W. Oscillation Criteria for Nonlinear Differential Equations of Second Order with Damping Term. Serdica Mathematical Journal, Tome 34 (2008) no. 2, pp. 395-414. http://geodesic.mathdoc.fr/item/SMJ2_2008_34_2_a2/