| 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. DOI: 10.1007/s11766-003-0007-4 |
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| 作者姓名： | 徐衍聪 孟凡伟 |
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| 作者单位： | 华东师范大学 |
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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. DOI: 10.1007/s11766-003-0007-4 |
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| Authors: | Xu Yancong Meng Fanwei |
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| Affiliation: | (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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