| 某类系数变号的二阶非线性变时滞微分方程的振动性 |
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| 引用本文： | 韩效宥,石燕霞,庄需芹.某类系数变号的二阶非线性变时滞微分方程的振动性[J].数学的实践与认识,2007,37(15):155-159. |
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| 作者姓名： | 韩效宥 石燕霞 庄需芹 |
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| 作者单位： | 北方工业大学,理学院,北京,100041 |
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| 摘 要： | 研究了二阶非线性变时滞微分方程x″(t)+p(t)f(x(g(t)))=0的振动性,对振动因子p(t)变号的情况,给出了两个重要的引理,并得到方程振动的一个充分性定理.所得结论推广了二阶非线性变时滞微分方程当系数不变号时原有的振动性结论.
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| 关 键 词： | 非线性 系数变号 变时滞微分方程 振动性 |
| 修稿时间： | 2007年6月1日 |
Oscillation of Second-order Nonlinear Variable Delay Differential Equation with Variable Coefficient |
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| HAN Xiao-you,SHI Yan-xia,ZHUANG Xu-qin.Oscillation of Second-order Nonlinear Variable Delay Differential Equation with Variable Coefficient[J].Mathematics in Practice and Theory,2007,37(15):155-159. |
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| Authors: | HAN Xiao-you SHI Yan-xia ZHUANG Xu-qin |
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| Abstract: | This paper studies the oscillation of a kind of second-order variable delay differential equation x″(t)+p(t)f(x(g(t)))=0.Two important lemmas and a sufficient condition for the oscillation of all solutions of the equation with variable coefficient p(t) are obtained.We generalize the results of second-order nonlinear differential equation and variable delay differential equation with invariable coefficient. |
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| Keywords: | nonlinear variable coefficient variable delay differential equation oscillation |
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