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An Oscillation Criterion for Second Order Superlinear Differential Equations 被引量:6

An Oscillation Criterion for Second Order Superlinear Differential Equations
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摘要 A new criterion is established for the oscillation of second order superlinear ordinary differential equations of the formx″(t) + p(t)x′(t) + q(t)|x(t)|αsgnx(t) = 0, t ≥ t0,where α>1,p and q are continuous functions on[t0,∞). This criterion extends and unifies some of the results obtained in [1]- [5]. A new criterion is established for the oscillation of second order superlinear ordinary differential equations of the formx″(t) + p(t)x′(t) + q(t)|x(t)|αsgnx(t) = 0, t ≥ t0,where α>1,p and q are continuous functions on[t0,∞). This criterion extends and unifies some of the results obtained in [1]- [5].
机构地区 Center University
出处 《Chinese Quarterly Journal of Mathematics》 CSCD 1997年第3期1-6, ,共6页 数学季刊(英文版)
关键词 二阶微分方程 超线性 振动准则 superlinearity oscillation criterion second order differential equation
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