| 一类二阶非线性摄动微分方程解的渐近性质 |
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| 引用本文： | 宋霞,刘保东,张全信. 一类二阶非线性摄动微分方程解的渐近性质[J]. 山东大学学报(理学版), 2009, 44(2): 19-23 |
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| 作者姓名： | 宋霞 刘保东 张全信 |
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| 作者单位： | 宋霞,SONG Xia(山东大学数学学院,山东,济南,250100;滨州学院数学与信息科学系,山东,滨州,256603);刘保东,LIU Bao-dong(山东大学数学学院,山东,济南,250100);张全信,ZHANG Quan-xin(滨州学院数学与信息科学系,山东,滨州,256603) |
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| 摘 要： | 研究了一类二阶非线性摄动微分方程非振动解的渐近性质,建立了三个新的渐近性定理,推广和改进了一些已知的结果。
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| 关 键 词： | 摄动微分方程 渐近性质 非振动解 |
| 收稿时间： | 2008-05-04 |
Asymptotic behavior of nonoscillatory solutions of second order nonlinear differential equation with perturbation |
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| SONG Xia,LIU Bao-dong,ZHANG Quan-xin. Asymptotic behavior of nonoscillatory solutions of second order nonlinear differential equation with perturbation[J]. Journal of Shandong University, 2009, 44(2): 19-23 |
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| Authors: | SONG Xia LIU Bao-dong ZHANG Quan-xin |
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| Affiliation: | SONG Xia1,2,LIU Bao-dong1*,ZHANG Quan-xin2(1.School of Mathematics,Shandong University,Jinan 250100,Shandong,China,2.Department of Mathematics and Information Science,Binzhou University,Binzhou 256603,China) |
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| Abstract: | The asymptotic behavior of nonoscillatory solutions of a class of second order nonlinear differential equation with perturbation was studied, three new asymptotic theorems were established, and some known results were extended and improved. |
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| Keywords: | nonlinear differential equation with perturbation asymptotic behavior nonoscillatory solution |
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