|
|||||
|
|
| 时标上具有正负项的非线性中立型动力方程非振动解的存在性 | |
| 引用本文： | 邸聪娜,李民良,赵彦,高明晶.时标上具有正负项的非线性中立型动力方程非振动解的存在性[J].云南民族大学学报(自然科学版),2010,19(5). |
| 作者姓名： | 邸聪娜 李民良 赵彦 高明晶 |
| 作者单位： | 1. 河北科技师范学院,数学与信息科技学院,河北,秦皇岛,066004 2. 上海海洋大学,信息学院,上海,201306 3. 河北师范大学,汇华学院,河北,石家庄,050091 |
| 摘 要： | 基于对微分方程非振动解的存在性的研究,考虑了时标Τ上的具有正负项的二阶非线性动力方程及其对应的扰动方程非振动解的存在性,通过构造适当的映射,用Banach压缩映射原理得到它们非振动解存在的充分条件,进一步完善动力方程的振动性理论. |
| 关 键 词： | 时标 非线性动力方程 中立型项 正负项 非振动解 |
Existence of Non-oscillatory Solutions for the Second Order Nonlinear Neutral Dynamic Equations with Positive and Negative Terms on Time Scales |
|
| DI Cong-na,LI Min-liang,ZHAO Yan,GAO Ming-jing.Existence of Non-oscillatory Solutions for the Second Order Nonlinear Neutral Dynamic Equations with Positive and Negative Terms on Time Scales[J].Journal of Yunnan Nationalities University:Natural Sciences Edition,2010,19(5). | |
| Authors: | DI Cong-na LI Min-liang ZHAO Yan GAO Ming-jing |
| Institution: | DI Cong-na,LI Min-liang,ZHAO Yan,GAO Ming-jing(1.College of Mathematics and Information Technology,Hebei Normal University of Science & Technology,Qinghuangdao 066004,China,2.Department of Information,Shanghai Ocean Universality,Shanghai 201306,3.Huihua School,Hebei Normal University,Shijiazhuang 050091,China) |
| Abstract: | Based on an understanding of the existence of non-oscillation solutions of differential equations,this paper studies the existence of non-oscillatory solutions for the second order nonlinear dynamic equation with positive and negative terms and its corresponding non-oscillatory solution for the perturbation equation.By defining mappings and using Banach's fixed theorem,it has obtained the existence of non-oscillatory solutions for the above equations.It has further improved the dynamic equation of the vibra... |
| Keywords: | time scales nonlinear dynamic equations neutral term positive and negative terms non-oscillatory solution |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |