| 二阶非线性中立型时滞微分方程的振动性 |
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| 引用本文： | 宋建梅,姚美萍. 二阶非线性中立型时滞微分方程的振动性[J]. 数学的实践与认识, 2007, 37(21): 180-183 |
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| 作者姓名： | 宋建梅 姚美萍 |
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| 作者单位： | 1. 山西大学,数学科学学院,山西,太原,030006;山西经济管理干部学院,山西,太原,030024
2. 山西大学,数学科学学院,山西,太原,030006 |
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| 基金项目： | 山西省自然科学基金;山西大学校科研和教改项目 |
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| 摘 要： | 考虑二阶非线性中立型时滞微分方程(x(t)-p(t)x(t-τ))″+∑ from i=1 to n (qi(t)fi(x(t-σi)))=0,t0,其中p,q_i∈C(R+,R+),τ,σ_i∈(0,∞),f_i∈C(R,R),i=1,2,…,n,分别得到了方程所有解振动和方程存在非振动解的充分条件,推广和改进了相关文献中的相关结果.
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| 关 键 词： | 中立型微分方程 时滞 振动 |
| 修稿时间： | 2007-04-03 |
On Oscillation of Second Order Nonlinear Neutral Differential Equations |
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| SONG Jian-mei,YAO Mei-ping. On Oscillation of Second Order Nonlinear Neutral Differential Equations[J]. Mathematics in Practice and Theory, 2007, 37(21): 180-183 |
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| Authors: | SONG Jian-mei YAO Mei-ping |
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| Abstract: | Consider the second order nonlinear neutral differential equation(x(t)-p(t)x(t-τ))″+∑ from i=1 to n(q_i(t)f_i(x(t-σ_i)))=0,t≥0,where p,qi∈C(R~+,R~+),τ,σ_i∈(0,∞),f_i∈C(R,R),i=1,2,…,n,sufficient conditions for oscillation of all solutions of the equation and existence of non-oscillatory solution are obtained respectively,which extend and improve the corresponding results of literature. |
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| Keywords: | neutral differential equation delay oscillation |
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