| 三阶非线性中立型方程的Philos型振动定理 |
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| 引用本文： | 屈英.三阶非线性中立型方程的Philos型振动定理[J].数学的实践与认识,2011,41(7). |
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| 作者姓名： | 屈英 |
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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： | 研究三阶中立型分布时滞微分方程(r(t)x(t)+p(t)x(r(t))]″)′+∫_a~b q(t,ξ)f(xg(t,ξ)])dσ(ξ)=0的振动性.利用广义Riccati变换和积分平均技巧,建立了保证此方程一切解振动或者收敛到零的若干新的充分条件.
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| 关 键 词： | 三阶中立型方程 分布时滞 广义Riccati变换 Philos型振动准则 |
Oscillation Theorem of Philos-Type for Third Order Nonlinear Neutral Equations |
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| Qu Ying.Oscillation Theorem of Philos-Type for Third Order Nonlinear Neutral Equations[J].Mathematics in Practice and Theory,2011,41(7). |
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| Authors: | Qu Ying |
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| Abstract: | The purpose of this paper is to study the oscillation of third order neutral differential equations with distributed delays of the form (r(t)x(t)+p(t)x(r(t))]″)′+∫_a~b q(t,ξ)f(xg(t,ξ)])dσ(ξ)=0 By using a generalized Riccati transformation and integral averaging technique,we establish some new sufficient conditions which insure that any solution of this equation oscillates or converges to zero. |
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| Keywords: | Third order neutral equation distributed delay generalized Riccati transformation oscillation criterion of philos-type |
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