| 一类二阶强迫非线性FDE解的振动性和渐近性 |
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| 引用本文： | 丁强生,蒋威,朱小进.一类二阶强迫非线性FDE解的振动性和渐近性[J].河南科技大学学报(自然科学版),2011,32(4):74-78,112. |
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| 作者姓名： | 丁强生 蒋威 朱小进 |
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| 作者单位： | 安徽大学数学科学学院,安徽合肥,230039 |
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| 基金项目： | 国家自然科学基金项目(10771001); 教育部博士学科点专项科研基金项目(20093401110001); 安徽省高校自然科学研究重大项目(KJ2010ZD02) |
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| 摘 要： | 利用振动性、渐近性理论和微分不等式,建立了一类偏差变元依赖状态的二阶强迫非线性泛函微分方程的振动准则,并举出例子来验证所得结果,讨论了有界振动解的渐近性。所得到的结果对相应的齐次方程仍然适用。
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| 关 键 词： | 二阶非线性泛函微分方程 振动性 渐近性 强迫项 偏差变元 |
Oscillation and Asymptotic Behavior of Solutions for a Kind of Second Order Non-linear FDE with Forcing Term |
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| DING Qiang-Sheng,JIANG Wei,ZHU Xiao-Jin.Oscillation and Asymptotic Behavior of Solutions for a Kind of Second Order Non-linear FDE with Forcing Term[J].Journal of Henan University of Science & Technology:Natural Science,2011,32(4):74-78,112. |
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| Authors: | DING Qiang-Sheng JIANG Wei ZHU Xiao-Jin |
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| Institution: | DING Qiang-Sheng,JIANG Wei,ZHU Xiao-Jin(Department of Mathematics,University of Anhui,Hefei 230039,China) |
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| Abstract: | By using the theory of oscillation,asymptotic behavior and differential inequality,this paper gave some oscillatory criteria for a kind of second order non-linear functional differential equations with deviating arguments depending on the state.An example was given to verify the results.Aasymptotic behavior of the boundary oscillatory solution was discussed.The obtained results are applicable to the corresponding homogeneous equations. |
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| Keywords: | Second order non-linear functional differential equation Oscillation Asymptotic behavior Forcing term Deviating argument |
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