| 一类非线性时滞双曲型分布参数系统的振动条件 |
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| 引用本文： | 罗李平,曾云辉,罗振国.一类非线性时滞双曲型分布参数系统的振动条件[J].振动与冲击,2022(4). |
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| 作者姓名： | 罗李平 曾云辉 罗振国 |
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| 作者单位： | 衡阳师范学院数学与统计学院 |
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| 基金项目： | 湖南省教育厅科研重点项目(21A0440);衡阳师范学院科研专项项目(KYZX21001)。 |
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| 摘 要： | 研究一类非线性时滞双曲型分布参数系统解的振动性问题,利用积分平均法、广义Riccati变换和H(t,s)k(s)型函数,建立了该类系统在第三类边值条件下所有解振动的若干新的充分判据。所得结论充分显示这种振动性是由时滞引起的,并给出一个实例来阐述主要结果的有效性。
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| 关 键 词： | 振动性 双曲型分布参数系统 非线性 时滞 广义Riccati变换 H(t s)k(s)型函数 |
Oscillation conditions of a class of nonlinear delay hyperbolic distributed parameter systems |
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| LUO Liping,ZENG Yunhui,LUO Zhenguo.Oscillation conditions of a class of nonlinear delay hyperbolic distributed parameter systems[J].Journal of Vibration and Shock,2022(4). |
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| Authors: | LUO Liping ZENG Yunhui LUO Zhenguo |
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| Affiliation: | (College of Mathematics and Statistics,Hengyang Normal University,Hengyang 421002,China) |
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| Abstract: | The oscillatory problems of solutions for a class of nonlinear delay hyperbolic distributed parameter systems were studied. By using an integral averaging method, the generalized Riccati transformation and the H(t,s)k(s) type function, some new sufficient criteria were established for oscillation of all solutions of the systems under the third boundary value condition. The obtained results fully show that the oscillation is caused by delay and its effectiveness is illustrated by an example. |
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| Keywords: | oscillation hyperbolic distributed parameter system nonlinear delay generalized Riccati transformation H(t s)k(s)type function |
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