| 一类二阶微分系统的解的收敛性 |
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| 引用本文： | 刘炳文,杨伟,马军. 一类二阶微分系统的解的收敛性[J]. 安徽师范大学学报(自然科学版), 2002, 25(1): 7-10. DOI: 10.3969/j.issn.1001-2443.2002.01.002 |
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| 作者姓名： | 刘炳文 杨伟 马军 |
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| 作者单位： | 1. 常德师范学院,数学系,湖南,常德,415000;2. 安乡县二中,湖南,安乡,413000;3. 常德市五中,湖南,常德,415000 |
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| 基金项目： | 湖南省教育厅科研项目;00C299; |
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| 摘 要： | 研究了如下一类二阶非线性微分系统 (dx)/(dt)=p(y),(dy)/(dt)=-f(t,x,y)q(y)-k(y)g(x)的解的渐近性态.在系统具有适当保证所有解有界的条件成立时,证明了其每个解收敛于奇点.所获结果改进和推广了文[1,2]中的全部结论.
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| 关 键 词： | 二阶微分系统 奇点 解 有界 收敛性 |
| 文章编号： | 1001-2443(2002)01-0007-04 |
ON CONVERGENCE OF SOLUTIONS FOR A CLASS OF SECOND-ORDER DIFFERENTIAL SYSTEMS |
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| LIU Bing-wen,YANG Wei,MA Jun. ON CONVERGENCE OF SOLUTIONS FOR A CLASS OF SECOND-ORDER DIFFERENTIAL SYSTEMS[J]. Journal of Anhui Normal University(Natural Science Edition), 2002, 25(1): 7-10. DOI: 10.3969/j.issn.1001-2443.2002.01.002 |
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| Authors: | LIU Bing-wen YANG Wei MA Jun |
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| Abstract: | In this paper, we study the asymptotic behavior of the following a second-order differential system dxdt=p(y), dydt=-f(t,x,y)q(y)-k(y)g(x), Assume that some suitable conditions to ensure the bounded ness of all solution hold. We prove that every solution of the system is convergent to equilibrium; All results of paper are extended and improved. |
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| Keywords: | Second order differential system equilibrium solutions bounded neww convergence. Key words:second-order differential system equilibrium solutions bounded neww convergence |
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