| 摘要: |
| 建立了一类带非线性扩散项和变时滞的中立型双曲方程在Dirichlet边界条件下解振动的一些充分条件.所得结果充分反映了时滞在方程振动中的影响和作用. |
| 关键词: 振动性 中立型 双曲方程 非线性扩散项 变时滞 |
| DOI：10.3969/J.ISSN.1000-5137.2020.03.005 |
| 分类号:O175.27 |
| 基金项目:The Project of “Double First-Class” Applied Characteristic Discipline in Hunan Province (Xiaojiaotong[2018]469); Hunan Provincial Natural Science Foundation of China (2018JJ2006,2019JJ40004); Scientific Research Fund of Hunan Provincial Education Department (17A030,16A031); The Training Target of the Young Backbone Teachers in Hunan Colleges and Universities (361); Hunan Provincial Key Laboratory (2016TP1020); Open Fund Project of Hunan Provincial Key Laboratory of Intelligent Information Processing and Application for Hengyang Normal University (IIPA18K05) |
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| Oscillation of nonlinear neutral hyperbolic equations with variable delayed influence |
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LUO Zhenguo1,2, LUO Liping1,2, HOU Juan1,2
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1.College of Mathematics and Statistics, Hengyang Normal University, Hengyang 421002, Hunan, China;2.Hunan Provincial Key Laboratory of Intelligent Information, Processing and Application, Hengyang Normal University, Hengyang 421002, Hunan, China
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| Abstract: |
| Some sufficient conditions are established for the oscillation of solutions of a class of neutral hyperbolic equations with nonlinear diffusion term and variable delays under Dirichlet’s boundary condition. Our results fully reflect the influence actions of delays in equation oscillation. |
| Key words: oscillation neutral type hyperbolic equation nonlinear diffusion term variable delay |
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