| 摘要: |
| 研究中立型微分方程的正解存在性和非振动解的渐近性,得到其正解存在性的1个充分条件,给出中立型微分方程每一个非正振动解趋向于零和非振动解下确界趋向于零(或上确界趋向正无穷大)的新判据. |
| 关键词: 微分方程 非振动解 渐近性 |
| DOI： |
| 投稿时间：2006-06-21修订日期：2006-10-27 |
| 基金项目: |
|
| Existence and Asymptotic Behaviors of Positive Solution of Neutral Differential Equation |
|
YAN Jian-ming
|
| (Department of Basic Subject, Hunan College of Finance and Economics, Changsha, Hunan, 410205, China) |
| Abstract: |
| The existence and asymptotic behaviors of nonoscillatory solution of neutral differential equation are studied.Sufficient condition is established for existence and asymptotic behaviors of nonoscillatory solution of the system.A new criterion for every nonoscillatory solution of neutral differential equation tending to zero and infimum of nonoscillatory solution tending to zero (or supremum of nonoscillatory solution tending to +∞)is given. |
| Key words: differential equation nonoscillatory solution asymptotic behaviors |
