| 二阶非线性中立型时标动态方程非振动解的存在性 |
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| 引用本文： | 高瑾,程世辉,王其如. 二阶非线性中立型时标动态方程非振动解的存在性[J]. 中山大学学报(自然科学版), 2009, 48(6) |
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| 作者姓名： | 高瑾 程世辉 王其如 |
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| 作者单位： | 1. 中山大学数学与计算科学学院,广东,广州,510275
2. 河南教育学院信息技术系,河南,郑州,450014 |
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| 基金项目： | 国家自然科学基金资助项目,广东省自然科学基金资助项目 |
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| 摘 要： | 利用Krasnoselskii不动点定理,建立了研究二阶非线性中立型时标动态方程 的非振动解的存在性条件。所得结果包含二阶非线性中立型微分方程相应的结论,并给出二阶非线性中立型差分方程新的判别准则。
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| 关 键 词： | 二阶非线性时标动态方程 非振动解 存在性 中立型 Krasnoselskii不动点定理 |
| 收稿时间： | 2008-12-23; |
Existence of Nonoscillatory Solutions to Second-order Nonlinear Neutral Dynamic Equations on Time Scales |
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| GAO Jin,CHENG Shihui,WANG Qiru. Existence of Nonoscillatory Solutions to Second-order Nonlinear Neutral Dynamic Equations on Time Scales[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2009, 48(6) |
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| Authors: | GAO Jin CHENG Shihui WANG Qiru |
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| Affiliation: | (1．School of Mathematics and Computational Science, Sun Yat sen University, Guangzhou 510275, China;2．Department of Information Technology, Henan Institute of Education, Zhengzhou 450014, China) |
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| Abstract: | By employing Krasnoselskii's fixed point theorem, the existence of nonoscillatory solutions of the second-order nonlinear neutral dynamic equations on time scales[r(t)(x(t)+p(t)x(t-τ))~Δ]~Δ+ ∑_(i=1)~mQ_i(t)f_i(x(t-σ_i)) = 0,t∈T is established. The obtained results cover those for second-order nonlinear neutral differential equations and provide new crtteria for second-order nonlinear neutral differential equations. |
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| Keywords: | second-order nonlinear dynamic equations on time scales nonoscillatory solutions existence neutral Krasnoselskii's fixed point theorem |
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