| 三阶非线性微分方程解的渐近性 |
| |
| 引用本文： | 周运明,俞元洪.三阶非线性微分方程解的渐近性[J].数学的实践与认识,2009,39(20). |
| |
| 作者姓名： | 周运明 俞元洪 |
| |
| 作者单位： | 1. 山东理工大学,理学院,淄博,255049
2. 中国科学院,数学与系统科学研究院,北京,100190 |
| |
| 摘 要： | 建立了三阶非线性微分方程…x+φ(x,x.,¨x)¨x+f(x,x.)=p(t,x,x.,¨x)的一切解有界和收敛到零的充分条件.
|
| 关 键 词： | 非线性微分方程 李雅普诺夫函数 有界性 渐近性 |
On the Asymptotic Behavior of Solutions of Third-Order Nonlinear Differential Equations |
| |
| ZHOU Yun-ming,YU Yuan-hong.On the Asymptotic Behavior of Solutions of Third-Order Nonlinear Differential Equations[J].Mathematics in Practice and Theory,2009,39(20). |
| |
| Authors: | ZHOU Yun-ming YU Yuan-hong |
| |
| Abstract: | Sufficient conditions under which all solutions of the third-order nonlinear differential equation ...x+ψ(x,.x,..x)..x+f(x,.x)=p(t,x,.x,..x) are bounded and converge to zeroas t →∞. |
| |
| Keywords: | Nonlinear differential equation Lyapunov function boundedness and asymptotic property |
| 本文献已被 万方数据 等数据库收录！ |
|
