Electronic Journal of Differential Equations, Vol. 2005(2005), No. 76, pp. 1-13. Title: Oscillation of second-order nonlinear differential equations with a damping term Authors: Elmetwally M. Elabbasy (Mansoura Univ., Egypt) Taher S. Hassan (Mansoura Univ., Egypt) Samir. H. Saker (Mansoura Univ., Egypt) Abstract: This paper concerns the oscillation of solutions to the differential equation $$ (r(t) x'(t))'+ p(t) x'(t) + q(t) g( x(t) ) =0, $$ where $xg(x)>0$ for all $x\neq 0$, $r(t)>0$ for $t\geq t_{0}>0$. No sign conditions are imposed on $p(t)$ and $q(t)$. Our results solve the open problem posed by Rogovchenko [27], complement the results in Sun [29], and improve a number of existing oscillation criteria. Our main results are illustrated with examples. Submitted April 5, 2005. Published July 8, 2005. Math Subject Classifications: 34K15, 34C10. Key Words: Oscillation; second order nonlinear differential equation; damping term. A corrigendum posted on January 2,2008. A new assumption is included in Theorems 2.2 and 24, and Example is modified. Please see the last page of this manuscrpt.