| 时标上动力方程的稳定性(英文) |
| |
| 引用本文： | 贾文奇,杨军,石胜利,田宝亮.时标上动力方程的稳定性(英文)[J].黑龙江大学自然科学学报,2010,27(5). |
| |
| 作者姓名： | 贾文奇 杨军 石胜利 田宝亮 |
| |
| 摘 要： | 借助于Gronwall’s不等式讨论时标上形如xΔ=Ax+p(t)+f(t,x)的动力方程,建立该类方程解的稳定性定理,研究该类方程解的渐近性,并给出比较定理.在此基础上获得了时标上的新的渐近稳定性判别准则。
|
| 关 键 词： | 动力方程 时标 稳定性 渐近稳定性 |
Stability of dynamic equations on time scales |
| |
| JIA Wen-qi,YANG Jun,SHI Sheng-li,TIAN Bao-liang.Stability of dynamic equations on time scales[J].Journal of Natural Science of Heilongjiang University,2010,27(5). |
| |
| Authors: | JIA Wen-qi YANG Jun SHI Sheng-li TIAN Bao-liang |
| |
| Abstract: | By using the generalized Gronwall's inequality,conditions under which the solutions to a time invariant dynamic equation of the form x~△=Ax+p(t)+f(t,x)are presented.A sufficient condition for stability of the dynamic equation is investigated on time scales.In particular,the asymptotic behavior of solutions to certain kinds of dynamic equations is discussed and a new comparison theorem is established.By constructing comparison theorem,new asymptotic stability criteria are obtained for all solutions of dynamic equations. |
| |
| Keywords: | dynamic equation time scales stability asymptotic stability |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
