Some Oscillation Theorems for Second Order Differential Equations |
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| Authors: | Chung-Fen Lee Cheh-Chih Yeh Chuen-Yu Gau |
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| Institution: | (1) National United University, No. 1, Lein Kung, Kung Chin Li, Miaoli City, Taiwan, Republic of China;(2) Department of Information Management, Long-Hua University of Science and Technology, Kei-San, Taoyuan, 333, Taiwan, Republic of China;(3) National Jui-Fang Industrial and Vocational Senior High School, No. 60, Jui-Fang-St, Jui-Fang Town, Taipei Country, Taiwan, Republic of China |
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| Abstract: | In this paper we establish some oscillation or nonoscillation criteria for the second order half-linear differential equation
where
(i) r,c ∈ C(t
0, ∞), ℝ := (− ∞, ∞)) and r(t) > 0 on t
0, ∞) for some t
0 ⩾ 0;
(ii) Φ(u) = |u|p−2
u for some fixed number p > 1.
We also generalize some results of Hille-Wintner, Leighton and Willet. |
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| Keywords: | oscillatory nonoscillatory Riccati differential equation Sturm Comparison Theorem |
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