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具连续分布滞量的二阶半线性中立型微分方程解的振动性
Oscillation of Second Order Half-linear Neutral Differential Equation with Continuous Distributed Delay
【摘要】 研究一类具连续分布滞量的二阶半线性中立型微分方程,利用广义Riccati变换和积分算子理论,给出了此类方程所有解振动的充分条件,所得结果推广和改进了已有文献的结果。
【Abstract】 By using generalized riccati fransformations and theory of intergral operator,sufficient condition for oscillation of each solution for a class of the second order half-linear neutral differential equation with continuous distributed delay is given.The obtained criteria generalized and improved some known results in the literature.
【关键词】 连续分布滞量;
半线性微分方程;
振动性;
【Key words】 continuous distributed delay; half-linear differential equation; oscillation;
【Key words】 continuous distributed delay; half-linear differential equation; oscillation;
【基金】 衡阳师范学院青年科学基金资助项目(10A42)
- 【文献出处】 衡阳师范学院学报 ,Journal of Hengyang Normal University , 编辑部邮箱 ,2011年06期
- 【分类号】O175
- 【下载频次】34