| 一类二阶非齐次时滞微分方程属于L．S∩L．C的判定 |
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| 引用本文： | 邢鸿雁,徐志庭. 一类二阶非齐次时滞微分方程属于L．S∩L．C的判定[J]. 广东工业大学学报, 1996, 0(4) |
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| 作者姓名： | 邢鸿雁 徐志庭 |
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| 作者单位： | 广东工业大学数理系 |
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| 摘 要： | 通过构造泛函，并引入辅助函数Ｆ（ｔ），得到了保证一类二阶非齐次时滞微分方程ｘ″（ｔ）＋ｐ（ｔ）ｘ′（ｔ）＋ｑ１（ｔ）ｘ（ｔ）＋ｑ２（ｔ）ｘ（τ（ｔ））＝ｆ（ｔ）所有解ｘ（ｔ）均满足ｘ（ｔ）∈Ｌ２［ａ，∞）∩Ｌ∞［ａ，∞）的充分条件。
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| 关 键 词： | 二阶时滞微分方程；平方可积性；有界性；泛函；辅助函数；积分不等式 |
The Quadratically Integrability and Boundedness of A Class of Second Order Nonhomogeness Differential Equation With Delay |
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| Xing Hongyan Xu Zhiting. The Quadratically Integrability and Boundedness of A Class of Second Order Nonhomogeness Differential Equation With Delay[J]. Journal of Guangdong University of Technology, 1996, 0(4) |
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| Authors: | Xing Hongyan Xu Zhiting |
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| Abstract: | |
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| Keywords: | second order differential equation with delay quadratically integrable bounded functional auxiliary functional integral inequality |
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