赵玉萍. 一类二阶中立型时滞微分方程的振动性[J]. 云南大学学报(自然科学版), 2022, 44(6): 1101-1106. doi: 10.7540/j.ynu.20210537
引用本文: 赵玉萍. 一类二阶中立型时滞微分方程的振动性[J]. 云南大学学报(自然科学版), 2022, 44(6): 1101-1106. doi: 10.7540/j.ynu.20210537
ZHAO Yu-ping. Oscillation criteria for a family of second order neutral delay differential equations[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(6): 1101-1106. DOI: 10.7540/j.ynu.20210537
Citation: ZHAO Yu-ping. Oscillation criteria for a family of second order neutral delay differential equations[J]. Journal of Yunnan University: Natural Sciences Edition, 2022, 44(6): 1101-1106. DOI: 10.7540/j.ynu.20210537

一类二阶中立型时滞微分方程的振动性

Oscillation criteria for a family of second order neutral delay differential equations

  • 摘要: 为了进一步发展和完善微分方程的振动理论,考虑了一类二阶非线性中立型时滞微分方程的振动性问题. 利用Riccati变换、微分中值定理以及不等式技巧获得了该类方程的几个新的振动准则,并举例说明了定理的应用.

     

    Abstract: In order to develop and improve the theory about oscillation of differential equations, the oscillation problems for a family of second order nonlinear neutral delay differential equations are considered. By use of the Riccati transformation, the mean value theorem and inequality techniques, some new oscillation criteria are established for the equations above, and an example is given to illustrate the application of the theorem.

     

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