非线性中立双曲型时滞偏微分方程解的振动性质

刘安平; 何猛省

非线性中立双曲型时滞偏微分方程解的振动性质

刘安平¹,
何猛省²

1.
中国地质大学, 数理系, 武汉, 430074;
2.
武汉理工大学数理系, 武汉, 430070

基金项目: 国家自然科学基金资助项目(10071026)

详细信息

作者简介:
刘安平(1961- ),男,湖北人,教授,硕士.

中图分类号: O175.27
计量
- 文章访问数: 2030
- HTML全文浏览量: 57
- PDF下载量: 767
- 被引次数: 0
出版历程
- 收稿日期: 2000-09-25
- 修回日期: 2001-12-26
- 刊出日期: 2002-06-15

Oscillatory Properties of the Solutions of Nonlinear Delay Hyperbolic Differential Equations of Neutral Type

LIU An-ping¹,
HE Meng-xing²

1.
Department of Mathematics and Physics, China University of Geosciences, Wuhan 430074, P R China;
2.
Department of Mathematics and Physics, Wuhan University of Technology, Wuhan 430070, P R China

摘要

摘要: 讨论一类多滞量非线性中立双曲型时滞偏微分方程解的振动性质,应用积分不等式和泛函微分方程的某些结果,获得了其一切解振动的一系列充分条件。结论充分表明了时滞量的决定性作用,指出了其与普通双曲型偏微分方程质的差异。
- 中立 /
- 时滞 /
- 双曲型 /
- 振动 /
- 非线性
Abstract: By making use of the integral inequalities and some results of the functional differential equations,oscillatory properties of solutions of certain nonlinear hyperbolic partial differential equations of neutral type with multi-delays were investigated and a series of sufficient conditions for oscillations of the equations were established.The results fully indicate that the oscillations are caused by delay and hence reveal the difference between these equations and those equations without delay.
- neutral /
- delay /
- hyperbolic /
- oscillation /
- nonlinear

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参考文献(15)

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