Geodesic
On oscillation criteria for third order nonlinear delay differential equations
Archivum mathematicum, Tome 45 (2009) no. 1, pp. 1-18
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In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form \[ \ \left( r_{2}\left( t\right) \left( r_{1}\left( t\right) x^{\prime }\right) ^{\prime }\right) ^{\prime }+p\left( t\right) x^{\prime }+q\left( t\right) f\left( x\left( g\left( t\right) \right) \right) =0. \] We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero.
In this paper we are concerned with the oscillation of third order nonlinear delay differential equations of the form \[ \ \left( r_{2}\left( t\right) \left( r_{1}\left( t\right) x^{\prime }\right) ^{\prime }\right) ^{\prime }+p\left( t\right) x^{\prime }+q\left( t\right) f\left( x\left( g\left( t\right) \right) \right) =0. \] We establish some new sufficient conditions which insure that every solution of this equation either oscillates or converges to zero.
Classification : 34C10, 34K11
Keywords: oscillation; third order; functional differential equation 
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Agarwal, Ravi P.; Aktas, Mustafa F.; Tiryaki, A. On oscillation criteria for third order nonlinear delay differential equations. Archivum mathematicum, Tome 45 (2009) no. 1, pp. 1-18. http://geodesic.mathdoc.fr/item/ARM_2009_45_1_a0/

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