| 引用本文： |
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孙太祥,彭小凤,余卫勇.时标上二阶动力方程的Lyapunov不等式[J].广西科学,2010,17(3):185-187. [点击复制]
- SUN Tai-xiang,PENG Xiao-feng,YU Wei-yong.Lyapunov Inequalities for Second Order Dynamic Equations on Time Scales[J].Guangxi Sciences,2010,17(3):185-187. [点击复制]
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| 摘要: |
| 研究任意时标T上的动力方程(r(t)x△(t))△+p(t)xσ(t)=0和(h(t)x△(t))▽+q(t)x(t)=0 的Lyapunov 不等式,得到两个方程在区间[a,b]上非共轭的充分条件. |
| 关键词: 动力方程 时标 Lyapunov不等式 非共轭 |
| DOI： |
| 投稿时间：2010-03-09修订日期：2010-06-06 |
| 基金项目:国家自然科学基金项目(10861002),广西自然科学基金项目(2010GXNSFA013106)和广西教育厅科研基金项目(200911MS212)资助。 |
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| Lyapunov Inequalities for Second Order Dynamic Equations on Time Scales |
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SUN Tai-xiang, PENG Xiao-feng, YU Wei-yong
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| (College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| Lyapunov inequalities of dynamic equations (r (r)r△ (r))△+p (r)rσ (r)=0 and (h (r)r△ (r))▽+q (r)r (r)=0 were investigated, and sufficient conditions under which these equations are disconjugate on interval[a, b] were obtained. |
| Key words: dynamic equation time scales Lyapunov inequalities disconjugacy |
