| 二阶非线性矩阵微分方程的振动性 |
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| 引用本文： | 徐衍聪,孟凡伟.二阶非线性矩阵微分方程的振动性[J].高校应用数学学报(英文版),2006,21(3):313-319. |
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| 作者姓名： | 徐衍聪 孟凡伟 |
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| 作者单位： | [1]Dept.of Math., East China Normal Univ., Shanghai 200062, China. [2]Dept.of Math., Qufu Normal Univ.,Shandong 273165, China. |
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| 摘 要： | Some new oscillation criteria are established for the second-order matrix differential system(r(t)Z′(t))′ p(t)Z′(t) Q(t)F(Z′(t))G(Z(t)) = 0, t ≥ to ＞ 0,are different from most known ones in the sense that they are based on the information only on a sequence of subintervals of t0, ∞), rather than on the whole half-line. The results weaken the condition of Q(t) and generalize some well-known results of Wong (1999) to nonlinear matrix differential equation.
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| 关 键 词： | 矩阵微分方程 振荡 Riccati技术 序列 |
| 收稿时间： | 2005-10-08 |
New oscillation criteria for second-order nonlinear matrix differential equations |
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| Xu Yancong,Meng Fanwei.New oscillation criteria for second-order nonlinear matrix differential equations[J].Applied Mathematics A Journal of Chinese Universities,2006,21(3):313-319. |
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| Authors: | Xu Yancong Meng Fanwei |
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| Institution: | (1) Dept. of Math., East China Normal Univ., 200062 Shanghai, China;(2) Dept. of Math., Qufu Normal Univ., 273165 Shandong, China |
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| Abstract: | Some new oscillation criteria are established for the second-order matrix differential system (r(t)Z′(t))′+p(t)Z′(t)+Q(t)F(Z′(t))G(Z(t))=0, t≥
0
>0, are different from most known ones in the sense that they are based on the information only on a sequence of subintervals
of t
0
, ∞), rather than on the whole half-line. The results weaken the condition of Q(t) and generalize some well-known results of Wong (1999) to nonlinear matrix differential equation.
Supported by NECC and NSF of Shandong Province, China (Y2005A06). |
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| Keywords: | Matrix differential equation Oscillation Riccati technique |
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