Journal of Applied Analysis Vol. 2, No. 1, pp. 105118 (1996) 

Oscillation criteria for second order linear differential equations with dampingWeiLing Liu and HorngJaan LiChienkuo Junior Collegeof Technology and Commerce ChangHua, Taiwan Republic of China Abstract: Some oscillation criteria are given for the second order linear differential equation with damping $$[r(t)x'(t)]'+p(t)x'(t)+q(t)x(t)=0,\quad t\geq t_0,$$ where $p(t)$ and $q(t)$ are allowed to change sign on $[t_0,\infty)$, and $r(t)>0$. These results generalize and improve some known results for the differential equations $$x''(t)+q(t)x(t)=0,$$ and $$x''(t)+p(t)x'(t)+q(t)x(t)=0.$$ Keywords: Second order differential equation with damping, oscillation,nonoscillation, generalized Riccati transformation Classification (MSC2000): 34C10, 34C15 Full text of the article:
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