Oscillation Theorems of Higher Order Differential Equations with Positive and Negative Coefficients and Damping Term
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Oscillation Theorems of Higher Order Differential Equations with Positive and Negative Coefficients and Damping Term
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 51, Issue 1, Pages: 30-34(2012)
作者机构:
邵阳学院理学与信息科学系,湖南,邵阳,422004
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Published:2012,
Published Online:25 January 2012,
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YANG Jiashan. Oscillation Theorems of Higher Order Differential Equations with Positive and Negative Coefficients and Damping Term. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(1):30-34(2012)
DOI:
YANG Jiashan. Oscillation Theorems of Higher Order Differential Equations with Positive and Negative Coefficients and Damping Term. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 51(1):30-34(2012)DOI:
Oscillation Theorems of Higher Order Differential Equations with Positive and Negative Coefficients and Damping Term
The oscillation for a class of higher order nonlinear variable delay functional differential equation with positive and negative coefficients and damping term is discussed. By introducing parameter function and the generalized Riccati transformation
some criteria for the oscillation of the equation are proposed. These criteria improve the restriction of the conditions for the equation. And these results improve and generalize some corresponding known results. Some examples are given to illustrate the main results.
关键词
正负系数泛函微分方程变时滞阻尼项Riccati变换振动性
Keywords
positive and negative coefficientfunctional differential equationvariable delaydamping termRiccati transformationoscillation