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二阶非线性阻尼方程的振动准则 被引量:10
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作者 罗辉 庄容坤 郭兴明 《应用数学和力学》 EI CSCD 北大核心 2005年第4期403-410,共8页
 利用Riccati变换和积分平均方法,研究了一类具有阻尼项的二阶非线性方程的解为振动的若干充分条件,建立了一些判定上述方程为振动的充分准则。
关键词 二阶非线性阻尼方程 振动性 RICCATI变换 积分平均技巧
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OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR DIFFERENTIAL EQUATION WITH DAMPING 被引量:1
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作者 罗辉 庄容坤 +3 位作者 郭兴明Shanghai Institute of Applied Mathematics and Mechanics Shanghai University Shanghai 200072 P.R.China 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第4期441-448,共8页
By the generalized Riccati transformation and the integral averaging technique, some sufficient conditions of oscillation of the solutions for second order nonlinear differential equations with damping were discussed.... By the generalized Riccati transformation and the integral averaging technique, some sufficient conditions of oscillation of the solutions for second order nonlinear differential equations with damping were discussed.Some sufficient oscillation criteria for previous equations were built up.Some oscillation criteria have been expanded and strengthened in some other known results. 展开更多
关键词 second order nonlinear differential equation with damping OSCILLATION Riccati transformation integral averaging technique
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