| 二阶非线性中立型时标动态方程非振动解的存在性 |
| |
| 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). |
| |
| 作者姓名： | 高瑾 程世辉 王其如 |
| |
| 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 |
| |
| 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 |
| |
| 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。
|
| 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 |
| |
| 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). |
| |
| Authors: | GAO Jin CHENG Shihui WANG Qiru |
| |
| 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) |
| |
| 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. |
| |
| Keywords: | second-order nonlinear dynamic equations on time scales nonoscillatory solutions existence neutral Krasnoselskii's fixed point theorem |
| 本文献已被 万方数据 等数据库收录！ |
| 点击此处可从《中山大学学报(自然科学版)》浏览原始摘要信息 |
|
点击此处可从《中山大学学报(自然科学版)》下载全文 |
