| 一类非线性中立型微分方程的振动定理 |
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| 引用本文： | 刘春潮,李永昆.一类非线性中立型微分方程的振动定理[J].云南大学学报(自然科学版),2002,24(2):88-92. |
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| 作者姓名： | 刘春潮 李永昆 |
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| 作者单位： | 云南大学数学系,云南,昆明,650091 |
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| 基金项目： | ThisworkwassupportedbyNationalNaturalScienceFoundationofChina ( 10 0 6 10 0 4)andYunnanProvinnce( 2 0 0 0A0 0 0 1M ) |
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| 摘 要： | 一类非线性混合中立型泛函微分方程(dn/dtn)(x(t)±ax(t-τ)bx(t +τ))(q(t)f(x(t-ρ))+p(t)g(x(t+σ)))=0,被讨论,得到了各种解的振动性的充分条件.
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| 关 键 词： | 非线性中立型微分方程 时间系数 解的振动性 |
Oscillation Theorems for Certain Nonlinear Neutral Functional Differential Equations |
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| LIU Chun-chao,LI Yong-kun.Oscillation Theorems for Certain Nonlinear Neutral Functional Differential Equations[J].Journal of Yunnan University(Natural Sciences),2002,24(2):88-92. |
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| Authors: | LIU Chun-chao LI Yong-kun |
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| Affiliation: | Department of Mathematics, Yunnan University, Kunming 650091, China |
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| Abstract: | Some sufficient conditions are obtained for the oscillation of all solutions to nonlinear neutral functional equations of mixed type of the form d"dt"tn(x(t) ± ax(t - τ) +-(t+ τ)) +- (q(t)f(x(t- p)) + p(t)g(x(t + σ))) = 0,where p and q are periodic functions. |
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| Keywords: | nonlinear neutral differential equation periodic coefficient oscillation of solutions |
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