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该文研究时间尺度上带超线性中立项的二阶时滞动力方程的振动性,运用Riccati变换和Bernoulli不等式等技巧,得到了该方程多个新的振动定理,推广和改进了已有文献中的相应结果,其中几个定理即使对于微分方程也是新的.最后该文分别给出相应的实例验证了所得定理的有效性.
时间尺度上带超线性中立项的二阶时滞动力方程的振动性
【摘 要】
：
该文研究时间尺度上带超线性中立项的二阶时滞动力方程的振动性,运用Riccati变换和Bernoulli不等式等技巧,得到了该方程多个新的振动定理,推广和改进了已有文献中的相应结果,其中几个定理即使对于微分方程也是新的.最后该文分别给出相应的实例验证了所得定理的有效性.
【机 构】
：
太原工业学院理学系 太原030008;内蒙古科技大学信息工程学院 内蒙古包头014010
【出 处】
：
数学物理学报
【发表日期】
：
2021年6期
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