%0 Journal Article %T Oscillation and nonoscillation theorems for second order nonlinear differential equations %A Jiang Jianchu %J Tamkang Journal of Mathematics %D 2001 %I Tamkang University %R 10.5556/j.tkjm.32.2001.95-102 %X New oscillation and nonoscillation theorems are obtained for the second order nonlinear differential equation $$ (|u'(t)|^{alpha -1} u'(t))' + p(t)|u(t)|^{alpha -1} u(t) = 0 $$ where $ p(t) in C [0, infty) $ and $ p(t) ge 0 $. Conditions only about the integrals of $ p(t) $ on every interval $ [2^n t_0, 2^{n+1} t_0] $ ($ n = 1, 2, ldots $) for some fixed $ t_0 >0 $ are used in the results. %U http://journals.math.tku.edu.tw/index.php/TKJM/article/view/350