时标上二阶扰动非线性中立型动力方程的振动性

Oscillation Criteria for Second Order Perturbed Nonlinear Neutral Dynamic Equations on Time Scales

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摘要运用广义Riccati变换技术,研究时标上二阶扰动非线性中立型动力方程振动的充分条件,所得结论推广和改进了已知文献的部分结果,最后给出了具体例子. A new sufficient condition on the oscillation of the second order perturbed nonlinear neutral dynamic equations is given by being generalized Riccati transformation.Some results in the literature are improved and generalized.Finally,a specific example that dwells upon the sharp conditions of our result is given.

作者余秀萍赵丽娟杨红玉 YU Xiu-ping;ZHAO Li-juan;YANG Hong-yu(H ebei Institute of Architectural and Civil Engineering;Zhangjiakou Occupation and Technology College)

机构地区河北建筑工程学院理学院张家口职业技术学院机械工程系

出处《河北建筑工程学院学报》 CAS 2018年第3期118-120,共3页 Journal of Hebei Institute of Architecture and Civil Engineering

关键词时标非线性中立型扰动方程振动性 RICCATI变换 time scales perturbed nonlinear neutral dynamic equation oscillation Riccati transformation

分类号 O175 [理学—基础数学]

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参考文献3

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2Xiuping Yu 1,Hongyu Yang 2,Jianmei Zhang 1,Chengmin Hou 3 1.Dept.of Math.and Physics,Hebei Institute of Architecture and Civil Engineering,Zhangjiakou 075024,Hebei,2.Dept.of Mechanic and Engineering,Zhangjiakou Vocational Technology Institute,Zhangjiakou 075031,Hebei,3.Dept.of Math.,Yanbian University,Yanji 133002,Jilin,.OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR NEUTRAL PERTURBED DYNAMIC EQUATIONS ON TIME SCALES[J].Annals of Differential Equations,2012,28(4):460-464. 被引量：1
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二级参考文献12

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共引文献4

1Xiuping Yu 1,Hongyu Yang 2,Jianmei Zhang 1,Chengmin Hou 3 1.Dept.of Math.and Physics,Hebei Institute of Architecture and Civil Engineering,Zhangjiakou 075024,Hebei,2.Dept.of Mechanic and Engineering,Zhangjiakou Vocational Technology Institute,Zhangjiakou 075031,Hebei,3.Dept.of Math.,Yanbian University,Yanji 133002,Jilin,.OSCILLATION CRITERIA FOR SECOND ORDER NONLINEAR NEUTRAL PERTURBED DYNAMIC EQUATIONS ON TIME SCALES[J].Annals of Differential Equations,2012,28(4):460-464. 被引量：1
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时标上二阶扰动非线性中立型动力方程的振动性

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