| 三阶非线性中立型微分方程的振动性 |
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| 引用本文： | 屈英,孙博. 三阶非线性中立型微分方程的振动性[J]. 数学的实践与认识, 2011, 41(6) |
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| 作者姓名： | 屈英 孙博 |
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| 作者单位： | 中央财经大学,应用数学学院,北京,100081 |
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| 摘 要： | 研究三阶中立型时滞微分方程(r(t)[x(t)+p(t)x(σ(t))]″)′+q(t)f(x(t),x[q(t)])h(x′(t))=0的振动性和渐进性.给出了方程一切解振动或者渐近趋向于零的若干充分条件.
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| 关 键 词： | 振动 中立型微分方程 三阶 |
Oscillation Theorem of Philos-Type for Third Order Nonlinear Neutral Equations |
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| QU Ying,SUN Bo. Oscillation Theorem of Philos-Type for Third Order Nonlinear Neutral Equations[J]. Mathematics in Practice and Theory, 2011, 41(6) |
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| Authors: | QU Ying SUN Bo |
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| Abstract: | The third order neutral delay differential equations (r(t)[x(t)+p(t)x(σ(t))]″)′+ q(t)f(x(t),x[g(t)])h(x′(t)) = 0 is studied for its oscillatory and asymptotic nature.Some sufficient conditions have been found to ensure that all solutions are either oscillatory or they approach zero as t→∞.These results extend the oscillation criteria given by Rogovchenko,Xia and Xu. |
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| Keywords: | oscillation neutral differential equation third order |
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